Free Printable Math 1 1st Semester Test

1.

$\left(3+8-10\right)\left(\frac{20}{4}\right)$

a)

5

b)

9

c)

14

d)

15

2.

$\frac{8+6}{3^2-7}$

a)

16

b)

13

c)

2

d)

7

3.

$\left(-5\right)+\left(-8\right)$

a)

-18

b)

-17

c)

-9

d)

-13

4.

$1+\left(-8\right)$

a)

1

b)

-13

c)

-7

d)

-10

5.

$1-\left(-8\right)$

a)

1

b)

9

c)

11

d)

5

6.

$\left(2\right)\left(-7\right)$

a)

-20

b)

-19

c)

14

d)

-14

7.

$\frac{-12}{3}$

a)

36

b)

-9

c)

-4

d)

9

8.

Simplify.

-2v-10-3v+5

a)

$4v-5$

b)

$2v-5$

c)

$-5v-5$

d)

$-6v-5$

9.

Simplify. $4\left(2x+7\right)$

a)

$60+6x$

b)

$-30-10x$

c)

$54+6x$

d)

$8x+28$

10.

Solve for x. $x-8=-14$

a)

$-22$

b)

$-6$

c)

$4$

d)

$-1\ \frac{3}{4}$

11.

$-6-10x=-76$

Solve for x.

a)

$-6$

b)

$7$

c)

$10$

d)

$-5$

12.

$-2x-26=7\left(4-4x\right)+8x$

Solve for x.

a)

$-13$

b)

$3$

c)

$15$

d)

$-9$

13.

$n-10\le-7$

Solve the inequality and graph its solution.

a)

b)

c)

d)

14.

$-2x>-8$

Solve the inequality and graph its solution.

a)

b)

c)

d)

15.

$1-4x=-5+4x-7x$

a)

$-3$

b)

$-7$

c)

$no\ solution$

d)

$6$

16.

$-2+2x>x-5$

a)

$x>-22$

b)

$x>-3$

c)

$x>-5$

d)

$x>-24$

17.

Solve for y.

2x+5y=-20

a)

$y=-4x-\frac{2}{5}$

b)

$y=-\frac{2}{5}x-4$

c)

$y=x-4$

d)

$y=-x-4$

18.

$3a+2=10+6a-2a$

a)

$-9$

b)

$-13$

c)

$-8$

d)

$-11$

19.

$2a-5>-23$

a)

$a<-4$

b)

$a>-9$

c)

$a>-4$

d)

$a<-9$

20.

The cost of having your car towed is $35 to hook up the car and then $3.50 per mile towed. What is the equation that models this scenario?

a)

$y=38.50x$

b)

$y=3.50x+35$

c)

$x+y\ =38.50$

d)

$y=30x+3.50$

21.

What is the solution to

3\left(2x-1\right)=\ 3x+3

?

a)

$x=2$

b)

$x=\frac{4}{9}$

c)

$x=\ -2$

d)

$x=\ -\frac{1}{3}$

22.

What is the solution to the equation

$-6x-3+4x=7-x$ ?

a)

$x=10$

b)

There are no solutions to this equation.

c)

$x=\frac{1}{10}$

d)

$x=-10$

23.

$4\left(5x-5\right)\le5\left(3x-9\right)$

What is the solution to the inequality

a)

$x\le-5$

b)

$x\le\frac{24}{5}$

c)

$x\ge-5$

d)

$x\ge\frac{24}{5}$

24.

a)

Subtraction Property of Equality

b)

Multiplication Property of Equality

c)

Division Property of Equality

d)

Addition Property of Equality

25.

a)

Division Property of Equality

b)

Commutative Property of Addition

c)

Associative Property of Addition

d)

Subtraction Property of Equality

26.

In the equation

5x+2y=17

, the first step to isolating y would likely be:

a)

Subtract 5x from both sides of the equation.

b)

Divide both sides of the equation by 5x.

c)

Divide both sides of the equation by 2y.

d)

Subtract y from both sides of the equation.

27.

Which graph represents the solution to the inequality

y<-2x-1

?

a)

b)

c)

d)

28.

Your cell phone plan allows you 500 minutes to talk per month. So far this month, you have used 345 minutes and you have 9 days left on this month's plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don't go over your monthly plan minutes?

a)

$9x+345>500$

b)

$9x\ +\ 345<500$

c)

$9x+345\le500$

d)

$9x+345\ge500$

29.

Which inequality represents the graph?

a)

$y\le x-2$

b)

$y>-x-2$

c)

$y>x-2$

d)

$y>-x-3$

30.

Which inequality represents the graph?

a)

$y\le4x+2$

b)

$y<4x+2$

c)

$y\ge-4x+2$

d)

$y\ge4x+2$

31.

What is the y-intercept of the graph?

a)

( 0, 9 )

b)

( 9, 0 )

c)

( 6, 0 )

d)

( 0, 6 )

32.

What is the x-intercept of the graph?

a)

( 0, 7 )

b)

( 0, - 2 )

c)

( - 2, 0 )

d)

( 7, 0 )

33.

What are the intercepts of the graph of

y=\frac{1}{6}x-8

?

a)

( 0, - 8 ) and ( - 48, 0 )

b)

( 0, 8) and ( 48, 0 )

c)

( 0, - 8 ) and ( 48, 0 )

d)

( 0, 8 ) and ( - 48, 0 )

34.

Find the x- and y-intercepts:

4x + 3y = 12

a)

( 3, 0 ) and ( 0, 4 )

b)

( 4, 0 ) and ( 0, 3 )

c)

( - 3, 0 ) and ( 0, - 4 )

d)

( 3, 0 ) and ( 0, - 4 )

35.

Find the slope of the line that contains ( 10, - 1) and ( - 8, 6 ).

a)

$\frac{2}{5}$

b)

$-\frac{7}{18}$

c)

$-\frac{18}{7}$

d)

$\frac{5}{2}$

36.

Find the slope of the line.

a)

$-\frac{2}{7}$

b)

$\frac{1}{2}$

c)

$-\frac{1}{2}$

d)

$2$

37.

Mrs. Davis bought a coat for a trip to Alaska and used a coupon for 5% off the coat price. The total cost of her coat, with the discount, was $241.00. Which equation could she use to find the price of the coat without the discount?

a)

$c-0.05c=241.00$

b)

$c=241.00+0.05$

c)

$0.05c=241.00$

d)

$c+0.05c=241.00$

38.

Use the table to find the average rate of change for the interval [ 5, 10 ].

a)

$5 per week

b)

$15 per week

c)

-$5 per week

d)

-$25 per week

39.

The function f(x) represents the total bill from a rental store that charges $10 to rent a steamer plus an additional $2.00 an hour. A second rental store use the function g(x) = 14 +1.25x to represent the total bill for a similar steamer. Which of the following statements is true about the function f(x) and g(x)?

a)

g(x) has a greater average rate of change then f(x).

b)

The average rate of change for f(x) and g(x) are equal.

c)

f(x) has a greater average rate of change than g(x).

d)

The average rates of change cannot be determined.

40.

A sequence is generated by

a_{n=}-2n-5

. What is the value of the seventh term?

a)

- 19

b)

- 21

c)

- 37

d)

2

41.

What is the common difference of the sequence?

16, 24, 32, 40, . . .

a)

6

b)

8

c)

16

d)

-8

42.

What is the next term in the sequence?

8, 14, 20, 26, . . .

a)

32

b)

33

c)

-32

d)

156

43.

Choose the equation that represents exponential decay.

a)

$y=\left(0.89\right)^t$

b)

$y=\left(2.16\right)^t$

44.

Choose the equation that represents exponential growth.

a)

$y=\left(1.081\right)^t$

b)

$y=\left(0.79\right)^t$

45.

Which is the correct exponential model of the situation:

A population of 290 animals decreases at an annual rate of 9%.

a)

$y=290\left(1.91\right)^x$

b)

$y=290\left(1.09\right)^x$

c)

$y=290\left(0.91\right)^x$

d)

$y=290\left(0.09\right)^x$

46.

A town's population increases at a rate of 1.6% every year. The current population is 6,500 people. What equation models this scenario?

a)

$y=6500\left(1.16\right)^x$

b)

$y=6500\left(1.016\right)^x$

c)

$y=6500\left(.016\right)^x$

d)

$y=6500\left(0.016\right)^x$

47.

What is the common ratio of the sequence?

-4, -12, -36, . . .

a)

r = -3

b)

r = -2

c)

r = 2

d)

r = 3

48.

What is the equation for the nth tern (explicit formula) for the geometric sequence: -4, 8, -16, 32, . . .

a)

$a_n=-4\left(-2\right)^{n-1}$

b)

$a_n=4\left(2\right)^{n-1}$

c)

$a_n=3\left(2\right)^{n-1}$

d)

$a_n=3\left(4\right)^{n-1}$

49.

If the domain of f(x) = 3x + 1is {2, 4, 6}, what is the range of f(x)?

a)

{10, 16, 22}

b)

all real numbers

c)

{7, 13, 19}

d)

{4, 10, 16}

50.

Which is the equation for the nth term (explicit formula) for the arithmetic sequence: 17, 23, 29, 35, . . .

a)

$a_n=\ 6n+11$

b)

$a_n=-6n+23$

c)

$a_n=-6n+24$

d)

$a_n=-4n+22$

Math 1 1st Semester Test

Total questions: 50

Worksheet time: 13hrs 30mins

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