Free Practice Quiz Question List

05 Algebra and Applied Math Online Quiz Questions

Use this free practice quiz with 20 questions to review 05 Algebra and Applied Math, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

Solve the equation $3x+4=25$ . What is $x$ ?

True or false

1 point

True or false: Subtracting 4 from only one side of an equation preserves the equality.

A
True
B
False

Choose one

1 point

An item costs $24 and is discounted by 25%. What is its sale price before tax?

A
$6
B
$18
C
$19
D
$30

Written response

1 point

A car travels 150 miles in 3 hours at a constant rate. What is its average speed in miles per hour?

Choose one

1 point

Four notebooks cost $12. If every notebook has the same price, how much do 7 notebooks cost?

A
$16
B
$18
C
$21
D
$28

Fill in the blank

1 point

Complete the inequality that represents “ $n$ is at least 12”: $n$ $12$ .

True or false

1 point

True or false: A change from 20% to 25% is an increase of 5 percentage points and a 25% relative increase.

A
True
B
False

Written response

1 point

A group has 18 people out of a total of 60. What percentage of the total is in the group?

Fill in the blank

1 point

A service charges a fixed fee of $18 plus $6.50 per hour. In the equation $18+$ $h=44$ , what hourly rate belongs in the blank?

Choose all

1 point

For the data set 120, 125, 130, 135, 190, select all correct statements.

A
The mean is 140.
B
The median is 130.
C
The set has a mode of 125.
D
The range is 70.
E
The value 190 pulls the mean upward.

Choose all

1 point

When interpreting a graph, select all practices that help make a reliable comparison.

A
Check the graph’s labels and units before comparing values.
B
Assume every vertical axis begins at zero.
C
Check whether the scale uses uneven intervals.
D
Calculate values when a comparison depends on the size of a difference.
E
Ignore the time period if the graph has a clear title.

Choose one

1 point

Why can $\frac{60\text{ min}}{1\text{ hr}}$ be used as a unit-conversion factor?

A
It changes the quantity being measured.
B
It is used only when converting between units of the same name.
C
It equals 1 because its numerator and denominator represent the same quantity.
D
It makes the original unit remain in the final answer.

True or false

1 point

True or false: A conversion factor such as $\frac{60\text{ min}}{1\text{ hr}}$ has a value of 1 because 60 minutes equals 1 hour.

A
True
B
False

Open ended

1 point

A service charges a fixed fee of $18 plus $6.50 per hour. A customer can spend at most $50, and the service time must be a whole number of hours. Write and solve an inequality to find the greatest number of hours the customer can afford, and explain why the answer must be rounded in that direction.

Choose one

1 point

Which expression is equivalent to $5x+2-3x+6$ ?

A
$2x+4$
B
$2x+8$
C
$8x+2$
D
$8x+8$

Choose one

1 point

Four notebooks cost $\$12$ . If each notebook costs the same amount, how much do 7 notebooks cost?

A
$\$18$
B
$\$19$
C
$\$21$
D
$\$24$

Choose one

1 point

What is 15% of 80?

A
$10$
B
$12$
C
$15$
D
$18$

Choose one

1 point

In the data set 120, 125, 130, 135, 190, which measure of center is less affected by the unusually high value 190?

A
Mean
B
Median
C
Mode
D
Range

Written response

1 point

A service charges a fixed fee of $\$12$ plus $\$8$ per hour. If the total charge is $\$52$ , how many hours was the service used?

Written response

1 point

A display has 3 rows of labels, with $2^2+1$ labels in each row. After 5 labels are removed, how many remain? Calculate $3(2^2+1)-5$ .