Units 2 - 4 Review - Katherine Rorabaugh | Library

Instructions

Formula Sheet

1

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of one shirt?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

1

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of 8 shirts and 16 shorts?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

1

During the last basketball game, Jake scored some 2-pointers and some 3-pointers. If he shot twice as many 2-pointers as 3-pointers, and his total score was 35, how many 2-pointers did he score?

Enter your answer as an integer.

1

Consider the function f(x) = \frac{3}{4}(x - 1)^{2} + 4.

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

1

Consider the function f(x) = -\frac{5}{4}(x + 3)^{2} .

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

1

The quadratic parent function is reflected over the x-axis, then shifted right 3, then stretched by 5.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

1

The quadratic parent function is shifted down 6, then shifted left 1, then compressed by \frac{3}{4}.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

1

Consider the function f(x) = 2(x-1)^{2}.

The vertex is at _______ .  (Use (x, y) format, with exactly one space after the comma.)
The axis of symmetry is _______  . (Your answer should have an "=")
As x \rightarrow\infty, f(x) \rightarrow _______  .  (Enter a number, \infty, or -\infty).
As x \rightarrow -\infty, f(x) \rightarrow _______  .  (Enter a number, \infty, or -\infty).

For \infty, copy/paste from this question.

1

Consider the function f(x) = -x^{2}+4x-1.

The vertex is at _______ .  (Use (x, y) format, with exactly one space after the comma.)
The axis of symmetry is _______  . (Your answer should have an "=")
As x \rightarrow\infty, f(x) \rightarrow _______  .  (Enter a number, \infty, or -\infty).
As x \rightarrow -\infty, f(x) \rightarrow _______  .  (Enter a number, \infty, or -\infty).

For \infty, copy/paste from this question.

1

Simplify the expression.

(3-4i) + (2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

1

Simplify the expression.

(3-4i)(2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

1

Simplify the expression.

(3-4i)(2+i) - 2i(5+i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

1

What is the sum of the solutions to the equation?

x^{2} + 3x - 4 = 0

Enter your answer as an integer, no spaces.

1

What is the sum of the solutions to the equation?

2x^{2} + 2x - 4 = 0

Enter your answer as an integer, no spaces.

1

What is the sum of the solutions to the equation?

3x^{2} + 12x +9 = 0

Enter your answer as an integer, no spaces.

1

What are the type of solutions to the following equation?

x^{2} + 5x + 4 = 0

1

What are the type of solutions to the following equation?

x^{2} + 5x + 40 = 0

1

Units 2 - 4 Review

Units 2 - 4 Review

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of one shirt?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of 8 shirts and 16 shorts?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

During the last basketball game, Jake scored some 2-pointers and some 3-pointers. If he shot twice as many 2-pointers as 3-pointers, and his total score was 35, how many 2-pointers did he score?

Enter your answer as an integer.

Consider the function f(x) = \frac{3}{4}(x - 1)^{2} + 4.

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

Consider the function f(x) = -\frac{5}{4}(x + 3)^{2} .

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

The quadratic parent function is reflected over the x-axis, then shifted right 3, then stretched by 5.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

The quadratic parent function is shifted down 6, then shifted left 1, then compressed by \frac{3}{4}.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

Simplify the expression.

(3-4i) + (2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.

(3-4i)(2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.

(3-4i)(2+i) - 2i(5+i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

What is the sum of the solutions to the equation?

x^{2} + 3x - 4 = 0

Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?

2x^{2} + 2x - 4 = 0

Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?

3x^{2} + 12x +9 = 0

Enter your answer as an integer, no spaces.

What are the type of solutions to the following equation?

x^{2} + 5x + 4 = 0

What are the type of solutions to the following equation?

x^{2} + 5x + 40 = 0

What are the type of solutions to the following equation?

2x^{2} - 6x + 5 = 0

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of one shirt?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of 8 shirts and 16 shorts?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

During the last basketball game, Jake scored some 2-pointers and some 3-pointers. If he shot twice as many 2-pointers as 3-pointers, and his total score was 35, how many 2-pointers did he score?

Enter your answer as an integer.

Consider the function f(x) = \frac{3}{4}(x - 1)^{2} + 4.

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

Consider the function f(x) = -\frac{5}{4}(x + 3)^{2} .

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

The quadratic parent function is reflected over the x-axis, then shifted right 3, then stretched by 5.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

The quadratic parent function is shifted down 6, then shifted left 1, then compressed by \frac{3}{4}.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

Simplify the expression.

(3-4i) + (2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.

(3-4i)(2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.

(3-4i)(2+i) - 2i(5+i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

What is the sum of the solutions to the equation?

x^{2} + 3x - 4 = 0

Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?

2x^{2} + 2x - 4 = 0

Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?

3x^{2} + 12x +9 = 0

Enter your answer as an integer, no spaces.

What are the type of solutions to the following equation?

x^{2} + 5x + 4 = 0

What are the type of solutions to the following equation?

x^{2} + 5x + 40 = 0

What are the type of solutions to the following equation?

2x^{2} - 6x + 5 = 0

Units 2 - 4 Review

Units 2 - 4 Review

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of one shirt? Enter your answer as a number rounded to two decimal places, no $ or spaces.

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of 8 shirts and 16 shorts?Enter your answer as a number rounded to two decimal places, no $ or spaces.

During the last basketball game, Jake scored some 2-pointers and some 3-pointers. If he shot twice as many 2-pointers as 3-pointers, and his total score was 35, how many 2-pointers did he score?Enter your answer as an integer.

Consider the function f(x) = \frac{3}{4}(x - 1)^{2} + 4.Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

Consider the function f(x) = -\frac{5}{4}(x + 3)^{2} .Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

The quadratic parent function is reflected over the x-axis, then shifted right 3, then stretched by 5. What is the resulting function? Use "y=..." format, no spaces. You do NOT have to FOIL.

The quadratic parent function is shifted down 6, then shifted left 1, then compressed by \frac{3}{4}. What is the resulting function? Use "y=..." format, no spaces. You do NOT have to FOIL.

Simplify the expression.(3-4i) + (2+7i)Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.(3-4i)(2+7i)Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.(3-4i)(2+i) - 2i(5+i)Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

What is the sum of the solutions to the equation?x^{2} + 3x - 4 = 0Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?2x^{2} + 2x - 4 = 0Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?3x^{2} + 12x +9 = 0Enter your answer as an integer, no spaces.

What are the type of solutions to the following equation?x^{2} + 5x + 4 = 0

What are the type of solutions to the following equation?x^{2} + 5x + 40 = 0

What are the type of solutions to the following equation?2x^{2} - 6x + 5 = 0

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of one shirt? Enter your answer as a number rounded to two decimal places, no $ or spaces.

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of 8 shirts and 16 shorts?Enter your answer as a number rounded to two decimal places, no $ or spaces.

During the last basketball game, Jake scored some 2-pointers and some 3-pointers. If he shot twice as many 2-pointers as 3-pointers, and his total score was 35, how many 2-pointers did he score?Enter your answer as an integer.

Consider the function f(x) = \frac{3}{4}(x - 1)^{2} + 4.Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

Consider the function f(x) = -\frac{5}{4}(x + 3)^{2} .Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

The quadratic parent function is reflected over the x-axis, then shifted right 3, then stretched by 5. What is the resulting function? Use "y=..." format, no spaces. You do NOT have to FOIL.

The quadratic parent function is shifted down 6, then shifted left 1, then compressed by \frac{3}{4}. What is the resulting function? Use "y=..." format, no spaces. You do NOT have to FOIL.

Simplify the expression.(3-4i) + (2+7i)Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.(3-4i)(2+7i)Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.(3-4i)(2+i) - 2i(5+i)Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

What is the sum of the solutions to the equation?x^{2} + 3x - 4 = 0Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?2x^{2} + 2x - 4 = 0Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?3x^{2} + 12x +9 = 0Enter your answer as an integer, no spaces.

What are the type of solutions to the following equation?x^{2} + 5x + 4 = 0

What are the type of solutions to the following equation?x^{2} + 5x + 40 = 0

What are the type of solutions to the following equation?2x^{2} - 6x + 5 = 0

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of one shirt?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of 8 shirts and 16 shorts?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

During the last basketball game, Jake scored some 2-pointers and some 3-pointers. If he shot twice as many 2-pointers as 3-pointers, and his total score was 35, how many 2-pointers did he score?

Enter your answer as an integer.

Consider the function f(x) = \frac{3}{4}(x - 1)^{2} + 4.

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

Consider the function f(x) = -\frac{5}{4}(x + 3)^{2} .

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

The quadratic parent function is reflected over the x-axis, then shifted right 3, then stretched by 5.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

The quadratic parent function is shifted down 6, then shifted left 1, then compressed by \frac{3}{4}.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

Simplify the expression.

(3-4i) + (2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.

(3-4i)(2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.

(3-4i)(2+i) - 2i(5+i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

What is the sum of the solutions to the equation?

x^{2} + 3x - 4 = 0

Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?

2x^{2} + 2x - 4 = 0

Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?

3x^{2} + 12x +9 = 0

Enter your answer as an integer, no spaces.

What are the type of solutions to the following equation?

x^{2} + 5x + 4 = 0

What are the type of solutions to the following equation?

x^{2} + 5x + 40 = 0

What are the type of solutions to the following equation?

2x^{2} - 6x + 5 = 0

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of one shirt?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

Jay bought 2 shirts and 5 shorts and paid $20.00. Bea bought 4 shirts and 6 shorts (at the same prices) and paid $32.00. What is the cost of 8 shirts and 16 shorts?

Enter your answer as a number rounded to two decimal places, no $ or spaces.

During the last basketball game, Jake scored some 2-pointers and some 3-pointers. If he shot twice as many 2-pointers as 3-pointers, and his total score was 35, how many 2-pointers did he score?

Enter your answer as an integer.

Consider the function f(x) = \frac{3}{4}(x - 1)^{2} + 4.

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

Consider the function f(x) = -\frac{5}{4}(x + 3)^{2} .

Which of the following transformations were applied to the quadratic parent function in order to create f(x)? Check all that apply.

The quadratic parent function is reflected over the x-axis, then shifted right 3, then stretched by 5.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

The quadratic parent function is shifted down 6, then shifted left 1, then compressed by \frac{3}{4}.

What is the resulting function?

Use "y=..." format, no spaces. You do NOT have to FOIL.

Simplify the expression.

(3-4i) + (2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.

(3-4i)(2+7i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

Simplify the expression.

(3-4i)(2+i) - 2i(5+i)

Write your answer as a complex number in the form a+bi, where a and b are real numbers. No spaces.

What is the sum of the solutions to the equation?

x^{2} + 3x - 4 = 0

Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?

2x^{2} + 2x - 4 = 0

Enter your answer as an integer, no spaces.

What is the sum of the solutions to the equation?

3x^{2} + 12x +9 = 0

Enter your answer as an integer, no spaces.

What are the type of solutions to the following equation?

x^{2} + 5x + 4 = 0

What are the type of solutions to the following equation?

x^{2} + 5x + 40 = 0

What are the type of solutions to the following equation?

2x^{2} - 6x + 5 = 0