Unit Test — Unit test Answers

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1
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What is the solution to ?

Question illustration
A
x less-than-or-equal-to 3
Option A
B
x less-than-or-equal-to 6
Option B
C
x less-than-or-equal-to 48
Option C
D
x less-than-or-equal-to 96
Option D
2
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What is the solution to ?

Question illustration
A
x less-than 2
Option A
B
x less-than 8
Option B
C
x less-than 10
Option C
D
x less-than 40
Option D
3

Find the product of –1.5x and –0.25x.

A
0.375x2
B
–1.75x2
C
0.375x
D
–1.75x
4

Which expression represents ?

Question illustration
A
6 y
Option A
B
53 over 5 y
Option B
C
6 y squared
Option C
D
53 over 5 y squared
Option D
5

Which graph shows the solution set for ?

Question illustration
A
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
Option B
C
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
Option C
D
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Option D
6

The walls of a square room with side length s are being torn down and rebuilt. The area of the new room can be represented by 1.75s(2s + 3).Which expression represents the area of the new room?

A
3.75s + 4.75
B
3.75s2 + 4.75s
C
3.5s2 + 5.25s
D
3.5s + 5.25
7

Arnob, Bella, Colin, Dante, and Erin are going to a baseball game. They have a total budget of $100.00 to spend. Each game ticket costs $17.50 and each drink costs $2.00. The inequality below relates x, the number of drinks the 5 friends could buy in all, with their ticket costs and budget.Which best describes the restrictions on the number of drinks they can buy?

Question illustration
A
They can buy only from 0 to 3 drinks, but no more.
B
They can buy only from 0 to 6 drinks, but no more.
C
They can buy only from 0 to 7 drinks, but no more.
D
They can buy only from 0 to 12 drinks, but no more.
8

Simplify the expression 3x(–2x + 5).

A
6x + 5
B
6x + 15
C
–6x2 + 5
D
–6x2 + 15x
9

In order to solve for the variable in the equation , Giovanni first applies the distributive property. Which equation is a result of this step?

Question illustration
A
8 x + 3 + 4 = 3 x minus 2 x + 4
Option A
B
8 x + 6 + 4 = 3 x minus 2 x minus 4
Option B
C
6 x + 5 + 4 = 3 x minus x + 3
Option C
D
6 x + 3 + 4 = 3 x minus x + 4
Option D
10

In order to solve for the variable in the equation , Jaleesa begins by applying the distributive property, then combines like terms. Which equation is the result of these steps?

Question illustration
A
7 x + 6 = 6 x minus 3
Option A
B
2 x + 6 + 5 x = 6 x minus 3
Option B
C
2 x + 3 + 5 x = 6 x minus 1
Option C
D
7 x + 3 = 6 x minus 1
Option D
11

Which expression represents the product of and –8x?

Question illustration
A
negative 35 over 4 x
Option A
B
6x
C
negative 35 over 4 x squared
Option C
D
6x2
12

Look at the two equations:-3x + 6 = 21-3x + 6 < 21Which statement best describes the process used to solve the equations?

A
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
B
In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
C
The process is exactly the same for solving the equation and solving the inequality.
D
The process for solving the equation is entirely different from solving the inequality.
13

Which is the solution to the equation ? Round to the nearest tenth if necessary.

Question illustration
A
6
B
7.6
C
8.9
D
10
14

What is the solution to ?

Question illustration
A
x >
Option A
B
x <
Option B
C
x > 2
D
x < 2
15

Sarita showed the steps to solving the equation. StepsSarita’s SolutionSarita’s Verification1 23 4 5 When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake?

Question illustration
A
Sarita’s solution is correct. She made an error in her verification.
B
Sarita was supposed to add the 5 and 7 in the first step.
C
Sarita added +13 instead of in the fourth step.
Option C
D
Sarita was supposed to use the division property of equality in the third step.
16

Misha solves the equation by applying the distributive property to each side of the equation. The result is . Misha then wants to combine like terms. Which are the terms Misha should combine?

Question illustration
A
3x – 2x and –8 – 7
B
3x – 2x and 8 – 7
C
3x – 2x + 4x and –6 – 8 – 7
D
3x – 2x – 6 and 4x – 8 – 7
17

What is the least common denominator of the equation ?

Question illustration
A
2
B
9
C
12
D
36
18

Which expression represents ?

Question illustration
A
–8t
B
46 over 5
Option B
C
46 over 5
Option C
D
–8t2
19

What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)

A
24x – 3
B
18x – 8
C
18x – 7
D
24x – 14
20

What is the solution to the system of linear equations graphed below?

Question illustration
A
(0, 3)
Option A
B
(0, negative 2)
Option B
C
(negative 2, negative 2 and one-half)
Option C
D
(Negative 2 and one-half, negative 2)
Option D

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