Question 1

Which equation is not equivalent to the other equations?

Accepted Answer

x × 4 =−12 + 3

Answer

x−4 × 3=−12

Answer

x−3 × 4=−12

Answer

x−12 =−12

Question 2

Solve 4x + 7 = 5

Accepted Answer

x  = $\frac{-1}{2}$

Answer

x = -2

Answer

x  = $\frac{1}{2}$

Answer

x = 3

Question 3

What value of z makes the equation   z+3 ÷$\frac{1}{2}$=1 true?

Accepted Answer

-5

Answer

-1

Answer

7

Answer

-$\frac{1}{2}$

Question 4

14 − 3x =−4x  has...

Accepted Answer

one solution  x = -14

Answer

one solution x = -2

Answer

no solution

Answer

infinitely many solutions

Question 5

6.5y − 19 = 2.5(y − 4) has ...

Accepted Answer

one solution, y = 2.25

Answer

one solution, y = -2.25

Answer

one solution, y = 4.75

Answer

no solution

Question 6

5− $\frac{2}{3}$x = 11− $\frac{2}{3}$x has ...

Accepted Answer

no solution

Answer

infinitely many solutions

Answer

one solution, x = - 4$\frac{1}{2}$

Answer

one solution, x = -4$\frac{1}{2}$

Question 7

Which number should be put in the blank to make an equation that has infinitely many solutions??  $\frac{1}{2}$(4 − z) = ___  - $\frac{1}{2}$z

Accepted Answer

2

Answer

4

Answer

1

Answer

8

Question 8

Which equation has no solution?

Accepted Answer

-2.5x + 10 = -2.5x

Answer

3x - 1 = 2x - 1

Answer

5 - x = -(x - 5)

Answer

2(x + 1) = 2x + 2

Question 9

Complete the data set with one value so that the mean of the data is 13.
10, 14, 8, 16, 12,  _____

Accepted Answer

18

Answer

13

Answer

15

Answer

17

Question 10

The clean-up hitter on a baseball team batted in $\frac{1}{3}$ of the runs the team scored. The hitter batted in 3 runs. Select the equation that represents the number n of runs the team scored.

Accepted Answer

$\frac{1}{3}$ n = 3

Answer

3n = $\frac{1}{3}$

Answer

3n = 9

Answer

$\frac{n}{3}$  = $\frac{1}{3}$

Question 11

What value of x makes the equation below true?
			 5x + 9 = x + 20

Accepted Answer

2.75

Answer

7.25

Answer

2.2

Answer

5.8

Question 12

The formula PV = 300R  is used in chemistry. How can this formula be solved for P?

Accepted Answer

Divide both sides of the formula by V.

Answer

Subtract V from both sides of the formula.

Answer

Divide both sides of the formula by P.

Answer

Subtract P from both sides of the formula.

Question 13

Emma received a $40 gift card that could be used to download television programs. After she downloaded 5 programs, she had $30 remaining on her gift card. If each program costs the same amount to download, what is the cost of one download?

Accepted Answer

$2

Answer

$6

Answer

$10

Answer

$8

Question 14

Which of the following equations is equivalent to the equation  30 = -2(-2x + 6) ?

Accepted Answer

30 = 4x - 12

Answer

30 = 4x + 6

Answer

30 = 4x + 12

Answer

30 = 4x - 6

Question 15

The drawing shows equal weights on two sides of a balance scale. The can of coffee weighs 20 ounces. Each book weighs 36 ounces. What is the weight, in ounces, of one carton of salt?

Accepted Answer

26

Answer

8

Answer

52

Answer

46

Question 16

Which of the following describes a correct method for solving the equation ?
					 
         -$\frac{1}{2}$ =6 - $\frac{2}{3}$x

Accepted Answer

Add –6 to both sides, then multiply both sides by -$\frac{3}{2}$

Answer

Add 6 to both sides, then divide both sides by   $\frac{3}{2}$

Answer

Subtract 6 from both sides, then multiply both sides by   -$\frac{2}{3}$

Answer

Subtract 6 from both sides, then add  $\frac{2}{3}$ to both sides

Question 17

The figures are similar. What is the value of x?

Accepted Answer

7.5

Answer

7

Answer

8

Answer

4.8

Question 18

Reflect Rectangle ABCD over the y-axis. What is the x-coordinate of point A'?

Accepted Answer

6

Answer

-6

Answer

4

Answer

-4

Question 19

Ben was solving the equation in the box shown. What should Ben do to correct the error that he made?

Accepted Answer

Multiply each side by -$\frac{1}{5}$   to get  x =$\frac{13}{60}$

Answer

Subtract $\frac{3}{4}$   from each side to get -5x = -$\frac{4}{7}$

Answer

Divide each side by -$\frac{1}{5}$  to get x =$\frac{13}{60}$ .

Answer

Add $\frac{3}{4}$   to each side to get  -5x = $\frac{5}{12}$

Question 20

The vertices of a triangle are   If the triangle is dilated by a scale factor of $\frac{1}{4}$   what will be the coordinates of  A'?

Accepted Answer

(2, -6)

Answer

(32. -56)

Answer

(4, -2)

Answer

(2, -2)

Question 21

Which description is the correct way to solve the equation?    7x - 3 = 31

Accepted Answer

Add 3 to both sides then divide both sides by 7.

Answer

Add 3 to both sides then multiply both sides by 7.

Answer

Subtract 3 from both sides then divide both sides by 7.

Answer

Subtract 3 from both sides then multiply both sides by 7.

Question 22

Mr. Glidden is expanding the size of his garden. His new garden will be 3 times as long and 2 times as wide as his original garden.
The perimeter of his original garden is 30 feet and the length is 11 feet. What will be the perimeter, in feet, of his new garden?

Accepted Answer

82

Answer

75

Answer

180

Answer

142

Question 23

Rectangle ABCD is similar to Rectangle JKLM. What is the ratio (ABCD to JKLM) of the corresponding side lengths?

Accepted Answer

$\frac{2}{3}$

Answer

$\frac{4}{9}$

Answer

$\frac{3}{2}$

Answer

$\frac{9}{4}$

Question 24

If the ratio of side lengths of two rectangles is $\frac{1}{4}$, what is the ratio of the areas?

Accepted Answer

$\frac{1}{16}$

Answer

You cannot determine it without knowing the side lengths.

Answer

$\frac{1}{4}$

Answer

$\frac{1}{8}$

Question 25

Find the answer to the last row in the picture

Accepted Answer

-10

Answer

12

Answer

6

Answer

-6

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