Unit Test — Cumulative exam Answers

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Which graph shows the solution set for ?

A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.

A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.

A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.

A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.

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Which is the best estimate for written in scientific notation?

7 times 10 Superscript 9

1.2 times 10 Superscript 10

1.5 times 10 Superscript 10

12 times 10 Superscript 18

Which rational number could be graphed between –4 and –5?

Negative 5.5

Negative 4.25

StartFraction 4 Over 5 EndFraction

4.5

Which statement can be modeled using the expression ?

the difference of Jaime’s height and 5

the sum of Jaime’s height and 5

5 more than Jaime’s height

Jaime’s height increased by 5

What is the value of “three less than the quotient of six and a number, increased by nine” when n = 3?

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?

A number line going from 80 to 91. A solid circle is at 88. Everything to the left of the circle is shaded.

A number line going from 80 to 91. An open circle is at 88. Everything to the left of the circle is shaded.

A number line going from 80 to 91. An open circle is at 87. Everything to the right of the circle is shaded.

A number line going from 80 to 91. A closed circle is at 87. Everything to the right of the circle is shaded.

Which steps are needed to solve this equation?.

Subtract 21 from the left side and add 21 to the right side of the equation. The answer is .Check the solution by substituting 198 for b.

Add 21 to the left side and subtract 21 from the right side of the equation. The answer is .Check the solution by substituting 198 for b.

Subtract 21 from both sides of the equation. The answer is .Check the solution by substituting 156 for b.

Add 21 to both sides of the equation. The answer is .Check the solution by substituting 198 for b.

To remain a member of student council, a student must attend at least of the activities. Joey attends 15 of the activities and remains on the student council. Which inequality represents the total amount of student council activities, a?

Three-fourths a greater-than-or-equal-to 15

Three-fourths a less-than-or-equal-to 15

Three-fourths a less-than 15

Three-fourths a greater-than 15

One quart equals 946.35 milliliters. How many milliliters are in 3 pints? Round the answer to the nearest tenth. 1 pint = 2 cups1 quart = 2 pints 1 gallon = 4 quarts

157.7 mL

473.2 mL

1419.5 mL

5678.1 mL

What is the solution to the equation?

98 + g = 150. 98 + 98 + g = 150 minus 98. t = 52.

98 + g = 150. 98 minus 98 + g = 150 minus 98. t = 52.

98 + g = 150. 98 + 98 + g = 150 + 98. t = 52.

98 + g = 150. 98 minus 98 + g = 150 + 98. t = 148.

Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures ounces each time he shampoos his dog and the bottle of shampoo originally contained ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

; times

Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the first and fourth step: 1. Find the positive difference between the original number and the new number.2. ________________________3. ________________________4. Round the answer if necessary.They did not agree on steps 2 and 3. Which instructions are correct for steps 2 and 3?

2. Divide the difference by the original number.3. Multiply the quotient by 100 to change it from a decimal to a percent.

2. Divide the difference by the new number.3. Multiply the quotient by 100 to change it from a decimal to a percent.

2. Divide the difference by the original number.3. Multiply the quotient by 10 to change it from a decimal to a percent.

2. Divide the difference by the new number.3. Multiply the quotient by 10 to change it from a decimal to a percent.

Sylvia shared a package of strawberries with 3 friends. Each friend received 8 strawberries. Sylvia wants to write and solve an equation to find the number of strawberries that were in the package. Which statements are part of the solution? Check all that apply.

StartFraction s Over 3 EndFraction = 8

3 s = 8

The variable, s, is equal to the number of strawberries each friend receives.

The variable, s, is equal to the number of strawberries that were in the package.

There are 24 strawberries in the package.

Hank’s monthly rent was $458, but he just got a notice from his landlord saying that it will go up by 21%. This means that he will now pay 121% of the previous amount. Which is the best estimate of Hank’s new monthly rent?

$540

$552

$585

$598

Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes hours, which equation can be used to find x, the distance in miles from Juan’s house to the park? Distance (mi)Rate (mi/hr)Time (hr)Trip to Parkx4 mph Trip to Homex6 mph

StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1

StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 and one-half

4 x + 6 x = 1 and one-half

4 x + 6 x = 1

Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each portion weighs 1.5 pounds. Which equation and solution shows the total amount of almonds he used in the mixture?

pounds of almonds

What is the solution to ?

h greater-than-or-equal-to 432

h less-than-or-equal-to 432

h less-than-or-equal-to negative 432

h greater-than-or-equal-to negative 432

Which method correctly solves the equation using the multiplication property of equality and the reciprocal of ?

One-third (x + 9 = negative 12. One-third x + 3 = negative 4. One-third x = negative 7. x = negative 27.

One-third (x + 9) = negative 12. x + 9 = negative 4. x = negative 13.

One-third (x + 9) = negative 12. x + 3 = negative 12. x = negative 15.

One-third (x + 9) = negative 12. x + 9 = negative 36. x = negative 45.

When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?

6 percent increase

9 percent increase

10 percent increase

90 percent increase

What is the solution to the equation ?