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02/14 2. Linear Equations and Applications Online Quiz Questions

Use this free practice quiz with 20 questions to review 02/14 2. Linear Equations and Applications, test your knowledge, and prepare for your next test or exam.

20 questions
01
Choose all
1 point

Select all operations that preserve the equality of an equation when performed correctly on both sides.

  1. A

    Add the same quantity to both sides.

  2. B

    Subtract the same quantity from both sides.

  3. C

    Multiply both sides by the same quantity.

  4. D

    Divide both sides by the same nonzero quantity.

02
Choose all
1 point

Select all statements that correctly translate the described percent situation into an equation.

  1. A

    What number is 20% of 80? translates to n=0.20(80).

  2. B

    15 is what percent of 60? translates to 15=0.15(60).

  3. C

    30 is 25% of what number? translates to 30=0.25n.

  4. D

    35% of 240 translates to 35(240)=P.

03
True or false
1 point

True or false: The equation 2x+5=2x+9 has no solution.

  1. A

    True

  2. B

    False

04
True or false
1 point

True or false: Cross-multiplication is valid for ab=cd\frac{a}{b}=\frac{c}{d} when both b and d are nonzero.

  1. A

    True

  2. B

    False

05
Written response
1 point

Four notebooks cost $7.20. Assuming the same unit price, what is the total cost of 9 notebooks? Enter the answer in dollars.

06
Written response
1 point

What is the mathematical term for an equation containing two or more variables, such as A=lwA=lw?

07
Fill in the blank
1 point

The sum of three consecutive integers is 72. In increasing order, the integers are , , and .

08
Fill in the blank
1 point

A price is decreased by 15%. In the expression new amount = original amount times , enter the decimal multiplier.

09
Open ended
1 point

A rectangle has a perimeter of 50 meters. Its length is 3 meters more than its width. Find the length and width, and show the equation and solving steps you use.

10
Choose one
1 point

Solve the proportion 35=x40\frac{3}{5}=\frac{x}{40}. What is x?

  1. A

    8

  2. B

    15

  3. C

    24

  4. D

    75

11
Written response
1 point

A cyclist travels 42 miles in 3 hours. What is the average speed? Enter the value in miles per hour.

12
Choose one
1 point

Solve the linear equation 4x+9=2x+254x+9=2x+25.

  1. A

    6

  2. B

    8

  3. C

    10

  4. D

    12

13
True or false
1 point

True or false: Dividing both sides of an equation by the same nonzero number preserves equality.

  1. A

    True

  2. B

    False

14
Choose one
1 point

Solve the proportion 712=x36\frac{7}{12}=\frac{x}{36}.

  1. A

    18

  2. B

    19

  3. C

    21

  4. D

    24

15
Written response
1 point

The sum of three consecutive integers is 9393. What is the largest integer?

16
Choose one
1 point

A rectangle has a perimeter of 64 meters. Its length is 6 meters greater than its width. What are its dimensions?

  1. A

    12 m by 20 m

  2. B

    13 m by 19 m

  3. C

    14 m by 18 m

  4. D

    15 m by 17 m

17
Choose one
1 point

The distance formula is d=rtd=rt. Which expression solves this formula for time tt, assuming r≠0r\ne0?

  1. A

    t=drt=\frac{d}{r}

  2. B

    t=drt=dr

  3. C

    t=rdt=\frac{r}{d}

  4. D

    t=d−rt=d-r

18
Choose one
1 point

Solve the equation x5+7=19\frac{x}{5}+7=19.

  1. A

    48

  2. B

    60

  3. C

    65

  4. D

    95

19
Choose one
1 point

A meal costs $75 before tax. If the sales-tax rate is 8%, what is the total cost including tax?

  1. A

    $75.60

  2. B

    $80.40

  3. C

    $81.00

  4. D

    $83.00

20
Choose one
1 point

Solve the equation 3(2x−5)+4=253(2x-5)+4=25.

  1. A

    4

  2. B

    6

  3. C

    8

  4. D

    10