Free Printable Algebra Semester Review

1.

The graph of part of linear function g is shown on the grid.

Which inequality best represents the domain of the part shown?

a)

$-9<x\le2$

b)

$-9\le x<2$

c)

$-6<g\left(x\right)\le3$

d)

$-6\le g\left(x\right)<3$

2.

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

a)

Domain: All real numbers greater than or equal to 0 and less than or equal to 100

Range: All real numbers greater than 0 and less than or equal to 50.

b)

Domain: {-2}

Range: {100}

c)

Domain: All real numbers greater than or equal to 0 and less than or equal to 50.

Range: All real numbers greater than 0 and less than or equal to 100.

d)

Domain: {100}

Range: {-2}

3.

What is the equation in slope-intercept from of the line that passes through the points (-4, 47) and (2,-16)

a)

$y=\ -\frac{21}{2}x+\frac{979}{21}$

b)

$y=-\frac{2}{21}x+\frac{979}{21}$

c)

$y=-\frac{21}{2}x+5$

d)

$y=-\frac{2}{21}x+5$

4.

The value of y is directly proportional to the value of x. If y=35 when x=140, what is the value of y when x=170?

(a)

5.

The table below shows the cost of a psychologist as a function of the number of hours worked.

What is the rate of change of the total cost with respect tot the number of hours?

(a)

6.

The table represents some points on the graph of a linear function.

What is the rate of change of y with respect to x?

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

$3$

d)

$-3$

7.

The graph models the linear relationship between the temperature of Earth's atmosphere and the altitude above sea level.

Which of these best represents the rate of change of the temperature with respect to altitude?

a)

-6.5℃/km

b)

-3.5℃/km

c)

-0.29℃/km

d)

-0.15℃/km

8.

The table shows a linear relationship between x and y .

What is the rate of change of y with respect to x?

a)

$-\frac{9}{2}$

b)

$\frac{2}{9}$

c)

$-\frac{2}{9}$

d)

$\frac{9}{2}$

9.

A part of an exponential function is graphed on the grid.

Which inequality best represents the domain of the part shown?

a)

$x\ge-2$

b)

$x\ge4.5$

c)

$x\ge4.5$

d)

$y\ge-2$

10.

The school office aides are in charge of packaging up old textbooks from the book room to mail to the used bookstore. This year, the school received $600 in total for selling old math textbooks for $12 each and old paperback novels for $3 each. The school sold 71 math textbooks and paperback novels in all.

Which system of equations could be used to calculate the number of old math textbooks, m, and the number of old paperback novels, p, the school sold this year?

a)

12m+3p=600

m+p=600

b)

12m+m=600

3p-12=71

c)

m=12-3p

m+p=600

d)

12m+3p=600

m+p=71

11.

The tables of ordered pairs represent some points on the graphs of lines, $f_1$ and $f_2$ .

a)

b)

c)

d)

12.

Which situation best represents causations?

a)

When the number of bus stops increases, the number of car sales decreases.

b)

When fewer firefighters report to a house fire, the damage caused by the fire decreases.

c)

When ice cream sales increase, incidents of sunburn increase.

d)

When it rains several inches, the water level of a lake increases.

13.

What is the value of x in the solution to this system of equations?

3x-5y=22

y=-5x+32

a)

-6.5

b)

0.5

c)

6.5

d)

-0.5

Algebra Semester Review

Total questions: 13

Worksheet time: 1hrs 5mins

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