Units 2 - 4 Review
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Last updated almost 4 years ago
18 questions
Note from the author:
Formula Sheet
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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
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
What are the type of solutions to the following equation?
x^{2} + 5x + 40 = 0
1
What are the type of solutions to the following equation?
2x^{2} - 6x + 5 = 0
What are the type of solutions to the following equation?
2x^{2} - 6x + 5 = 0