Unit Test — Unit test Answers

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Every seventh-grade student at Martin Middle School takes one world language class. One-tenth of the seventh-grade students take French. Eighteen seventh-grade students take French. Which equation represents s, the total number of seventh-grade students at the middle school?

18 = 0.1 s

18 = StartFraction 10 over s EndFraction

StartFraction s over 0.1 EndFraction = 18

10 s = 18

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Kendra bought a gallon of milk and of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?

3.60 + StartFraction 5 over 6 EndFraction x = 4.35

4.35 + StartFraction 5 over 6 EndFraction x = 3.60

3.60 x + StartFraction 5 over 6 EndFraction = 4.35

4.35 x + StartFraction 5 over 6 EndFraction = 3.60

Adler and Erika solved the same equation using the calculations below. Adler’s WorkErika’s WorkWhich statement is true about their work?

Neither student solved for k correctly because .

Only Adler solved for k correctly because the inverse of addition is subtraction.

Only Erika solved for k correctly because the opposite of is .

Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.

Holly drew the parallelogram below to represent the design of her new garden.She found that the area of the garden will be square feet by using the equation . If the height, h, of the parallelogram-shaped garden is feet, what is the base, b, in feet?

1.5

7.5

Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.What errors did Emma make? Select two options.

She should have used division to represent the quotient of six and x.

She should not have included an equal sign.

She should have used parentheses to show that is multiplied by .

She should have subtracted the difference from .

She should have used parentheses to show that is multiplied by .

What is the solution for the equation?

n = Negative StartFraction 13 over 4 EndFraction

n = negative start Fraction 7 over 4 EndFraction

n = StartFraction 7 over 4 EndFraction

n = StartFraction 13 over 4 EndFraction

Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account. Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.

451.89 minus c = 358.92

451.89 minus 3 c = 358.92

358.92 + 3 c = 451.89

358.92 + c + c + c = 451.89

c = 3 (451.89 minus 358.92)

Which statement can be represented by the equation ?

Two-fifths of nine is a number.

Two-fifths of a number is nine.

Nine more than two-fifths of a number is nine.

A number plus nine is the same as two-fifths of nine.

Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33.A student used the steps below to find each person’s age.Step 1Write an equation, letting x represent Kareem’s age:Step 2Solve the equation:Step 3Sadie is , Kareem is , and Nadra is .Which corrects the student’s first error?

In Step 1, the student should have used to represent Nadra’s age, and written the equation .

In Step 2, the student should have added 3 on both sides of the equation to find a solution of .

In Step 3, the solution represents Sadie’s age. Therefore, Sadie is , Kareem is , and Nadra is .

In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15.

A cycling race is 17 miles long. The cyclists will begin at point S and ride a number of laps around a neighborhood block. After the last lap, the cyclists will sprint 2.0 miles to the finish line. Using the equation , the race’s organizer determined the cyclists will need to ride 9 laps before the sprint to the finish. Which explains the error?

The equation should be , and the cyclists will need to ride 12 laps before the sprint to the finish.

The equation should be , and the cyclists will need to ride 21 laps before the sprint to the finish.

The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish.

The solution should be 8, and the cyclists will need to ride 8 laps before the sprint to the finish.

Perry spent $22.50 on material to make necklaces. He used all of the material and made 15 necklaces. How much should Perry charge for each necklace if he wants to make a profit of $60?

$1.50

$4.00

$5.50

$7.00

Katya cut part of the jump rope off to make it shorter. The new length is feet. The difference between the original length and the new length is foot. The equation can be used to represent this problem, where x is the original length of the rope. What was the original length of the rope?

feet

9 feet

10 feet

Hassan’s age is three times Parul’s age. Samuel’s age is one-half Parul’s age. The total of their ages is 18. The equation can be used to find Parul’s age, p. How old is Parul?

2 years old

4 years old

6 years old

12 years old

Leo spent the same amount of time working on each of 5 different weight machines and then spent of an hour on the treadmill. If he spent a total of hours at the gym, which shows the correct equation and solution for x, the number of hours Leo spent at each of the weight machines?