Unit 1 Test

Instructions

Directions:
0)  Make sure you've turned in your study guide.  
     On your desk - paper, pencil, calculator
     On your browser - this test, Desmos links below.
     In your backpack - phones, electronics, notes.
1)  Take the test.  If you're struggling, come back to the directions and formulae.  Give it your best shot, but keep moving through the questions.
2)  Some questions allow you to show your work.  For these, just type what steps you took to get your answer.  I may be able to give you partial credit if some of your steps are correct.
3)  Check your answers. Pay careful attention that you gave what the question was asking for.
4)  Submit the test.
5)  Close your Chromebook.  Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing
Desmos - Scientific

1

Match the vocabulary terms with their definitions.

Draggable item		Corresponding Item
a process that takes (usually two) terms and produces a result; common ones include addition, subtraction, multiplication, and division		term
a group of terms joined by operations, a mathematical phrase		expression
an operation that assigns an output value to each input value		operation
the smallest mathematical unit, usually a number, a variable, or a product of numbers and variables		equation
a function whose inputs and outputs are reversed from another function; a function that undoes the other function		function
two expressions joined by an equal sign		inverse function

1

Evaluate the expression for x=2.

\frac{x+6}{x^{3}}

Enter your answer as a number, no spaces.

1

Evaluate the expression for x=2.

2|x - 16| - 7x

Enter your answer as a number, no spaces.

1

Evaluate the expression for x=2 and y=6.

\frac{1}{4}(x+y)^{2}

1

What is the first step in evaluating the expression below?

\frac{(3+6)^{2}+27}{3}

1

What is the first step in evaluating the expression below?

5|3 - 4^{2}|+17

1

If f(x) = \frac{14x-49}{7} , what is f(3)?

Enter your answer as a number, no spaces.

1

If f(x) = \frac{4 + x}{x^{2}}, what is f(-1)?

Enter your answer as a number, no spaces.

1

Which of the following is the inverse function of f(x) = 2x?

1

Which of the following is the inverse function of f(x) = x+2?

1

Solve the equation for x.

3(x + 10) = 6

Enter your answer as a number, no spaces.

1

Solve the equation for x.

2 - (x+ 5) = 3x - 11

Enter your answer as a number, no spaces.

1

Solve the equation for x.

2|x+14| = 12

Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

1

Solve the equation for x.

5-|2x+7|=-8

Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

1

Which represents the solution to the following inequality?

5-(1-x) < 6

1

Which represents the solution to the following inequality?

4x + 7 < x - 8

1

Which represents the solution to the following inequality?

|x-2| < 6

1

Categorize the symbols by their meaning.

<
open circle, shading to the right
>
closed circle, shading to the left
<
closed circle, shading to the right
>
open circle, shading to the left

Greater than or equal to
Greater than
Less than or equal to
Less than

1

Which of the following values of x satisfy the following inequality?

5(3 - x) < 30

Check all that apply. (3)

1

Which of the following values of x satisfy the following inequality?

\frac{1}{3}|x+3| > 5

Check all that apply. (3)

1

The product of a certain number and 4 is 64.

Which equation, when solved for x, gives the value of the number?

1

If you add one to Xavier's age, then triple that sum, you get 6.

Which equation, when solved for x, gives Xavier's age?

1

At a fair, Quinn bought three less than half of the number of items Stacy bought. Quinn bought 12 items.

Which equation, when solved for x, gives the number of items Stacy bought?

1

NHS is fundraising for St. Jude by doing a gift card raffle. The gift card cost $50, and each ticket costs $2. NHS wants to raise at least $500 for St. Jude.

Which inequality, when solved for x, gives the number of tickets they must sell in order to meet their goal?

0

Hunter has 128 stone bricks. He wants to lay a recangular floor of stone bricks. He wants the length of the floor to be five bricks longer than the width.

Which inequality, when solved for x, gives the possible widths for the floor?

Unit 1 Test

Match the vocabulary terms with their definitions.

Evaluate the expression for x=2.\frac{x+6}{x^{3}}Enter your answer as a number, no spaces.

Evaluate the expression for x=2.2|x - 16| - 7xEnter your answer as a number, no spaces.

Evaluate the expression for x=2 and y=6.\frac{1}{4}(x+y)^{2}

What is the first step in evaluating the expression below?\frac{(3+6)^{2}+27}{3}

What is the first step in evaluating the expression below?5|3 - 4^{2}|+17

If f(x) = \frac{14x-49}{7} , what is f(3)?Enter your answer as a number, no spaces.

If f(x) = \frac{4 + x}{x^{2}}, what is f(-1)?Enter your answer as a number, no spaces.

Which of the following is the inverse function of f(x) = 2x?

Which of the following is the inverse function of f(x) = x+2?

Solve the equation for x.3(x + 10) = 6Enter your answer as a number, no spaces.

Solve the equation for x.2 - (x+ 5) = 3x - 11Enter your answer as a number, no spaces.

Solve the equation for x.2|x+14| = 12Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

Solve the equation for x.5-|2x+7|=-8Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

Which represents the solution to the following inequality?5-(1-x) < 6

Which represents the solution to the following inequality?4x + 7 < x - 8

Which represents the solution to the following inequality?|x-2| < 6

Categorize the symbols by their meaning.

Which of the following values of x satisfy the following inequality?5(3 - x) < 30Check all that apply. (3)

Which of the following values of x satisfy the following inequality?\frac{1}{3}|x+3| > 5Check all that apply. (3)

The product of a certain number and 4 is 64.Which equation, when solved for x, gives the value of the number?

If you add one to Xavier's age, then triple that sum, you get 6.Which equation, when solved for x, gives Xavier's age?

At a fair, Quinn bought three less than half of the number of items Stacy bought. Quinn bought 12 items.Which equation, when solved for x, gives the number of items Stacy bought?

NHS is fundraising for St. Jude by doing a gift card raffle. The gift card cost $50, and each ticket costs $2. NHS wants to raise at least $500 for St. Jude.Which inequality, when solved for x, gives the number of tickets they must sell in order to meet their goal?

Hunter has 128 stone bricks. He wants to lay a recangular floor of stone bricks. He wants the length of the floor to be five bricks longer than the width. Which inequality, when solved for x, gives the possible widths for the floor?

Match the vocabulary terms with their definitions.

Evaluate the expression for x=2.\frac{x+6}{x^{3}}Enter your answer as a number, no spaces.

Evaluate the expression for x=2.2|x - 16| - 7xEnter your answer as a number, no spaces.

Evaluate the expression for x=2 and y=6.\frac{1}{4}(x+y)^{2}

What is the first step in evaluating the expression below?\frac{(3+6)^{2}+27}{3}

What is the first step in evaluating the expression below?5|3 - 4^{2}|+17

If f(x) = \frac{14x-49}{7} , what is f(3)?Enter your answer as a number, no spaces.

If f(x) = \frac{4 + x}{x^{2}}, what is f(-1)?Enter your answer as a number, no spaces.

Which of the following is the inverse function of f(x) = 2x?

Which of the following is the inverse function of f(x) = x+2?

Solve the equation for x.3(x + 10) = 6Enter your answer as a number, no spaces.

Solve the equation for x.2 - (x+ 5) = 3x - 11Enter your answer as a number, no spaces.

Solve the equation for x.2|x+14| = 12Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

Solve the equation for x.5-|2x+7|=-8Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

Which represents the solution to the following inequality?5-(1-x) < 6

Which represents the solution to the following inequality?4x + 7 < x - 8

Which represents the solution to the following inequality?|x-2| < 6

Categorize the symbols by their meaning.

Which of the following values of x satisfy the following inequality?5(3 - x) < 30Check all that apply. (3)

Which of the following values of x satisfy the following inequality?\frac{1}{3}|x+3| > 5Check all that apply. (3)

The product of a certain number and 4 is 64.Which equation, when solved for x, gives the value of the number?

If you add one to Xavier's age, then triple that sum, you get 6.Which equation, when solved for x, gives Xavier's age?

At a fair, Quinn bought three less than half of the number of items Stacy bought. Quinn bought 12 items.Which equation, when solved for x, gives the number of items Stacy bought?

NHS is fundraising for St. Jude by doing a gift card raffle. The gift card cost $50, and each ticket costs $2. NHS wants to raise at least $500 for St. Jude.Which inequality, when solved for x, gives the number of tickets they must sell in order to meet their goal?

Hunter has 128 stone bricks. He wants to lay a recangular floor of stone bricks. He wants the length of the floor to be five bricks longer than the width. Which inequality, when solved for x, gives the possible widths for the floor?

Evaluate the expression for x=2.

\frac{x+6}{x^{3}}

Enter your answer as a number, no spaces.

Evaluate the expression for x=2.

2|x - 16| - 7x

Enter your answer as a number, no spaces.

Evaluate the expression for x=2 and y=6.

\frac{1}{4}(x+y)^{2}

What is the first step in evaluating the expression below?

\frac{(3+6)^{2}+27}{3}

What is the first step in evaluating the expression below?

5|3 - 4^{2}|+17

If f(x) = \frac{14x-49}{7} , what is f(3)?

Enter your answer as a number, no spaces.

If f(x) = \frac{4 + x}{x^{2}}, what is f(-1)?

Enter your answer as a number, no spaces.

Solve the equation for x.

3(x + 10) = 6

Enter your answer as a number, no spaces.

Solve the equation for x.

2 - (x+ 5) = 3x - 11

Enter your answer as a number, no spaces.

Solve the equation for x.

2|x+14| = 12

Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

Solve the equation for x.

5-|2x+7|=-8

Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

Which represents the solution to the following inequality?

5-(1-x) < 6

Which represents the solution to the following inequality?

4x + 7 < x - 8

Which represents the solution to the following inequality?

|x-2| < 6

Which of the following values of x satisfy the following inequality?

5(3 - x) < 30

Check all that apply. (3)

Which of the following values of x satisfy the following inequality?

\frac{1}{3}|x+3| > 5

Check all that apply. (3)

The product of a certain number and 4 is 64.

Which equation, when solved for x, gives the value of the number?

If you add one to Xavier's age, then triple that sum, you get 6.

Which equation, when solved for x, gives Xavier's age?

At a fair, Quinn bought three less than half of the number of items Stacy bought. Quinn bought 12 items.

Which equation, when solved for x, gives the number of items Stacy bought?

NHS is fundraising for St. Jude by doing a gift card raffle. The gift card cost $50, and each ticket costs $2. NHS wants to raise at least $500 for St. Jude.

Which inequality, when solved for x, gives the number of tickets they must sell in order to meet their goal?

Hunter has 128 stone bricks. He wants to lay a recangular floor of stone bricks. He wants the length of the floor to be five bricks longer than the width.

Which inequality, when solved for x, gives the possible widths for the floor?

Evaluate the expression for x=2.

\frac{x+6}{x^{3}}

Enter your answer as a number, no spaces.

Evaluate the expression for x=2.

2|x - 16| - 7x

Enter your answer as a number, no spaces.

Evaluate the expression for x=2 and y=6.

\frac{1}{4}(x+y)^{2}

What is the first step in evaluating the expression below?

\frac{(3+6)^{2}+27}{3}

What is the first step in evaluating the expression below?

5|3 - 4^{2}|+17

If f(x) = \frac{14x-49}{7} , what is f(3)?

Enter your answer as a number, no spaces.

If f(x) = \frac{4 + x}{x^{2}}, what is f(-1)?

Enter your answer as a number, no spaces.

Solve the equation for x.

3(x + 10) = 6

Enter your answer as a number, no spaces.

Solve the equation for x.

2 - (x+ 5) = 3x - 11

Enter your answer as a number, no spaces.

Solve the equation for x.

2|x+14| = 12

Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

Solve the equation for x.

5-|2x+7|=-8

Enter your answer in x={#, #} format, with exactly one space after the comma. List the smaller number first.

Which represents the solution to the following inequality?

5-(1-x) < 6

Which represents the solution to the following inequality?

4x + 7 < x - 8

Which represents the solution to the following inequality?

|x-2| < 6

Which of the following values of x satisfy the following inequality?

5(3 - x) < 30

Check all that apply. (3)

Which of the following values of x satisfy the following inequality?

\frac{1}{3}|x+3| > 5

Check all that apply. (3)

The product of a certain number and 4 is 64.

Which equation, when solved for x, gives the value of the number?

If you add one to Xavier's age, then triple that sum, you get 6.

Which equation, when solved for x, gives Xavier's age?

At a fair, Quinn bought three less than half of the number of items Stacy bought. Quinn bought 12 items.

Which equation, when solved for x, gives the number of items Stacy bought?

NHS is fundraising for St. Jude by doing a gift card raffle. The gift card cost $50, and each ticket costs $2. NHS wants to raise at least $500 for St. Jude.

Which inequality, when solved for x, gives the number of tickets they must sell in order to meet their goal?

Hunter has 128 stone bricks. He wants to lay a recangular floor of stone bricks. He wants the length of the floor to be five bricks longer than the width.

Which inequality, when solved for x, gives the possible widths for the floor?