Free Printable Review for Test Chapter 1

1.

The gasoline used by a car is measured in miles per gallon and is related to the distance traveled by the following formula:

$miles\ per\ gallon\times number\ of\ gallons=dis.\ traveled$

During a trip your car used a total of 46.2 gallons of gasoline. If your car gets 33 miles to the gallon, how far did you traveled?

a)

1524.6 mi

b)

720 mi

c)

9.7 mi

d)

28 mi

2.

The gasoline used by a car is measured in miles per gallon and is related to the distance traveled by the following formula:

$miles\ per\ gallon\times number\ of\ gallons=dis.\ traveled$

Your friend has decided to buy a hybrid car that gets 60 miles per gallon. The gasoline tank holds 12 gallons. How far can the car go on one tank of gasoline?

a)

1524.6 mi

b)

720 mi

c)

9.7 mi

d)

28 mi

3.

Name the property illustrated by each equation.

$8\sqrt[]{11}+5\sqrt[]{11}=\left(8+5\right)\sqrt[]{11}$

a)

Inverse Property of Addition

b)

Distributive Property

c)

Associative Property of Addition

d)

Inverse Property of Multiplication

4.

Write an algebraic expression to represent each verbal expression.

The difference between the product of four and a number and 6.

a)

$4n-6$

b)

$8x^2$

c)

$x^3-15$

d)

$\frac{x}{4}+5$

5.

Solve each equation. Check your solution.

$2\left|3x-4\right|+8=6$

a)

$\left\{34,\ -8\right\}$

b)

$\left\{8,\ -26\right\}$

c)

$\left\{4,\ -14\right\}$

d)

No solution

6.

Solve each inequality.

$12<-4\left(3c-6\right)$

a)

$c\le9$

b)

$c<3$

c)

$c\le3.9$

d)

$c<1$

7.

Solve each inequality.

$\left|8t+3\right|\le4$

a)

b)

c)

d)

8.

The formula $C=\frac{5\left(F-32\right)}{9}$ can be used to convert temperatures in degrees Farenheit to degrees Celsius.

Room temperature commonly ranges from $64\degree\ F$ to $73\degree\ F$ . Determine the room temperature range in degrees Celsius.

a)

$17.8\degree C\$ to $22.8\ \degree C$

b)

$0.5\degree C\$ to $7\degree C$

c)

$2\degree C\$ to $48.83\degree C$

d)

$7\degree C\$ to $11\degree C$

9.

Find the additive inverse and multiplicative inverse for each number.

$12.1$

a)

$8,\ -\ \frac{1}{8}$

b)

$-12.1;\ \frac{1}{12.1}$

c)

$0.25;\ -4$

d)

$-\ \frac{6}{13};\ \frac{13}{6}$

10.

Write a verbal sentence to represent each equation.

$\frac{x+3}{4}=5$

a)

Four less than 8 times a number is 16.

b)

The quotient of the sum of 3 and a number 4 is 5.

c)

Three less than four times the square of a number is 13.

11.

Evaluate each expression if $a=-3,\ b=-5,\$ and $c=4.2.$

$\left|5b\right|$

a)

$12.6$

b)

25

c)

2

d)

$9.2$

12.

Javier has at most $15.00 to spend today. He buys a bag of pretzels and a bottle of juice for $1.59. If gasoline at this store costs $2.89 per gallon, how many gallons of gasoline, to the nearest tenth of a gallon, can Javier buy for his car?

a)

No more than 4.6 gal.

b)

Less than 80 gal.

c)

Less tan 70 gal.

d)

Exactly 40 gal.

13.

Forensics scientists use the equation $h=2.6f+47.2$ to estimate the height $h$ of a woman given the length in centimeters $f$ of her femur bone.

Suppose the equaton has a margin of error of $\pm3$ centimeters. Write an inequality to represent the height of a woman given the length of her femur.

a)

$\left|2.6f+47.2\right|<3$

b)

$\left|h-177.2\right|<3$

c)

$174.2<h<180.2$

d)

$\left|x-1\right|\le5$

14.

Evaluate the expression.

$\frac{15\left(9-7\right)}{3}$

a)

3

b)

26

c)

10

15.

Simplify each expression.

$4\left(2m+5n\right)-3\left(m-7n\right)$

a)

$11m+2n$

b)

$-2m+8n+6$

c)

$5m+41n$

16.

Solve each equation for the specified variable.

$\frac{r+5}{mn}=p$ for $m$

a)

$m=\frac{16p+3r}{2}$

b)

$m=\frac{r+5}{pn}$

c)

$m=\frac{2p}{n+1}$

17.

Solve each equation.

$4\left|a-6\right|=16$

a)

$\left\{-17,\ 7\right\}$

b)

$\left\{2,\ 10\right\}$

c)

No solution

d)

$\left\{14\right\}$

Review for Test Chapter 1

Total questions: 17

Worksheet time: 1hrs 25mins

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