Free Printable Alg 1 Test out part 1

1.

-54 = -4n + 2

a)

n = 13

b)

n = 14

c)

n = -56

d)

n = -14

2.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

3.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

4.

-15 = -4m + 5

a)

4

b)

7

c)

5

5.

10-6v=-104

a)

19

b)

-19

c)

18

6.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

7.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

8.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

9.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

10.

$-\left(3v+1\right)+7\left(6v+6\right)=-37$

a)

$4$

b)

$0$

c)

$2$

d)

$-2$

11.

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

a)

$-3$

b)

$12$

c)

$11$

d)

$-2$

12.

$-11-5b=-6b-3$

a)

$13$

b)

$8$

c)

$-11$

d)

$1$

13.

$5n+3=15+8n$

a)

$-3$

b)

$15$

c)

$-4$

d)

$8$

14.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

15.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

16.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

17.

Solve for x: u = 2x - 2

a)

$x\ =\ u-1$

b)

$x\ =\ \frac{2}{u}\ +2$

c)

x $x\ =\ \frac{\left(u-2\right)}{2}$

d)

$x\ =\ \frac{u}{2}+1$

18.

Solve for a: 12am = 4

a)

$a\ =\frac{1}{3m}$

b)

a = 4 -12m

c)

$a\ =\ \frac{12m}{4}$

d)

$a\ =\ 12m\ -\ 4$

19.

Solve for a: 12am = 4

a)

$a\ =\frac{1}{3m}$

b)

a = 4 -12m

c)

$a\ =\ \frac{12m}{4}$

d)

$a\ =\ 12m\ -\ 4$

20.

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

a)

c = 3.00 - 0.15m

b)

c = 0.15 + 3.00m

c)

3.00 = c + 0.15

d)

c = 3.00 + 0.15m

21.

Samuel bought 3 tires for $79.95 each and some rims for $59 each. He spent a total of $534.85. Which equation could be used to find the number of rims, r, Samuel bought?

a)

3(79.95) - 59r = 534.85

b)

79.95r - 59(3) = 534.85

c)

3(79.95) + 59r = 534.85

d)

79.95r + 59(3) = 534.85

22.

Which equation matches the following situation? 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

n= # of students in each bus; 6n + 7 =331

b)

n=# of buses; 6n + 7 =331

c)

n= # of students in each bus; 6 + 7n =331

d)

n= # of students in each bus; 6n - 7 =331

23.

WRITE AN EQUATION
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

n=total cost pencils; 7n+10=24

b)

n=cost of 1 pencil; 7n-10=24

c)

n=cost of 1 pencil; 7n+10=24

d)

n=cost of 1 pencil; -7n-10=24

24.

The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?

a)

250x + 2 = 1000

b)

1000 + 2x = 250

c)

250 - 2x = 1000

d)

2x + 250 = 1000

25.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

26.

While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. What was the price of each CD?

a)

5x + 6 = 61

b)

x/5 + 6 = 61

c)

5/x + 6 = 61

d)

x + 5 + 6 = 61

27.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

28.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

29.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

30.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

31.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

32.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

33.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

34.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

35.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

36.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

37.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

38.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

39.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 1/3x - 1

b)

y = 1/4x -1

c)

y = -1/3x +1

d)

y = -1/4x + 1

40.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = x

b)

y = x + 1

c)

y = -x

d)

y = -x + 1

41.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 3x - 3

b)

y = 3x - 1

c)

y = -3x - 3

d)

y = -3x - 1

42.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = -1/3x + 3

b)

y = 1/3x - 3

c)

y = -1/3x - 3

d)

y = 1/3x + 3

43.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

44.

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

a)

y = 2/3x - 3

b)

y = 2/3x + 3

c)

y = -2/3x - 3

d)

y = -2/3x + 3

45.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

46.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

47.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

48.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y+ 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

49.

^{What is the x- intercept of the line?}

a)

(0,-1)

b)

(-2,0)

c)

(-1,0)

d)

(0,-2)

50.

_{What is the y-intercept of the line?}

a)

(-1,0)

b)

(-1,-3)

c)

(1,1)

d)

(0-1)

51.

Give the y-interecept
5x + y = 5

a)

(1,0)

b)

(0,5)

c)

(5,0)

d)

(0,1)

52.

Give the x-intercept
5x + y = 5

a)

(1, 0)

b)

(0, 1)

c)

(1/5, 0)

d)

(0, 1/5)

53.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

54.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

55.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

56.

Select the two lines that are parallel.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are parallel.

57.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

58.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

59.

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

a)

parallel

b)

perpendicular

c)

neither parallel nor perpendicular

d)

both parallel and perpendicular

60.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an y-intercept of -2?

a)

$y=4x-2$

b)

$y=4x+8$

c)

$y=\frac{1}{4}x-2$

d)

$y=-\frac{1}{4}x-2$

61.

Are the equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

62.

A line is perpendicular to y = 2x + 4

What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

63.

Level 3

Which two equations below are parallel?

a)

y = 2x + 1 and y = -1/2x + 1

b)

y = 2x + 3 and y = -2x + 3

c)

y = 2x - 1 and y = 1/2x - 1

d)

y = -x + 4 and y = -x + 2

64.

Level 3

Which two equations below are perpendicular?

a)

y = -3x + 2 and y = -2x + 2

b)

y = 3x + 1 and y = 3x + 1

c)

y = -x + 1 and y = -x - 2

d)

y = 3x - 4 and y = -1/3x - 2

65.

Write an equation that is parallel to the line
y = x - 5 through (1, -2)

a)

y = -3x +1

b)

y = x - 3

c)

y = x + 1

d)

y = 3x +1

66.

Write an equation of a line parallel to y = x + 3 through (5, 3)

a)

y = x + 2

b)

y = -2x + 1

c)

y = 2x + 1

d)

y = x - 2

67.

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

a)

y = -3x + 1/5

b)

y = -3x - 1/5

c)

y = 1/5x - 3

d)

y = -1/5x - 3

68.

$2x-y=4$ $y=-2x+8$

Use Substitution to find the value of x.

a)

x=8

b)

x=3

c)

x=11

d)

x=5

69.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

70.

Use Substitution to determine if this system has a solution or not.

8x+4y=12\ \ \ and\ \ \ \ y\ =\ -2x+3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

71.

What is the solution to this system of equations?

a)

Infinite Solutions

b)

One Solution

c)

No Solution

d)

(0, 0)

72.

What is the solution to this system of equations?

a)

(2, -3)

b)

(-2, 3)

c)

(-3, 2)

d)

(3, -2)

73.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

74.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

75.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

76.

Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

77.

Use Elimination method to solve this system

-4x - 2y = -12

4x + 8y = -24

a)

(6,-6)

b)

(-6,6)

c)

(6,6)

d)

(-6,-6)

78.

Solve by elimination:
2x - 3y = -6
-2x - 2y = 26

a)

(-9,-4)

b)

(9,4)

c)

(4,9)

d)

(-4,-9)

79.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

80.

Solve by elimination:
-9x-4y=-20

5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

81.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

82.

Solve by elimination:
4x + 8y = 20
−4x + 2y = −30

a)

(-1, 7)

b)

(-7, 1)

c)

(7, -1)

d)

(1, -7)

83.

Solve for x and y
5x + 3y = 7
y = 4

a)

(4,1)

b)

(4,-1)

c)

(1,4)

d)

(-1,4)

84.

Solve for x and y
2x − 3y = −1
y = x − 1

a)

(-2,-3)

b)

(0,-1)

c)

(3,4)

d)

(4,3)

85.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

86.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

87.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

88.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

89.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

90.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

91.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

92.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

93.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. JoAnn wants to to tutor and baby-sit and make at least $66 per week. Formulate an system of inequalities to model how many hours per week she can work at each job.

a)

b + t < 15
3b + 6t > 66

b)

b + t > 15
3b + 6t < 66

c)

3b + 6t > 15
b + t < 66

d)

3b + 6t < 15
b + t < 66

94.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

95.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

96.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

97.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

98.

|8 - 4x| = 16

a)

x = -2, x = -6

b)

x = 2 , x = 24

c)

x = -2, x = 6

d)

No Solution

99.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

100.

Solve for x
2 lx−4l+8=18

a)

x = 9 and x =-1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

101.

Solve the following equation:

|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

102.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

103.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

104.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

105.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

106.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

107.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

108.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

109.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

110.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

111.

a)

A

b)

B

c)

C

d)

D

112.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

113.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

114.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

115.

3x - 2 < 13

a)

x > 3.67

b)

x > 5

c)

x < 5

d)

x < 3.67

116.

.5(x - 8) < 2

a)

x > 20

b)

x < 20

c)

x > 12

d)

x < 12

117.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

118.

a)

25

b)

11

c)

35

d)

1

119.

| x – 3 |= 0

a)

3

b)

-3

c)

{-3, 3}

d)

no solution

120.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

121.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

122.

Write an inequality for this situation:
We need to make at least $10,000

a)

x < 10000

b)

x > 10000

c)

x ≤ 10000

d)

x ≥ 10000

123.

#1 Which graph is correct for y = -x + 3?

a)

A

b)

B

124.

#2 Which graph is correct for y = 3x - 4?

a)

A

b)

B

125.

#3 Which graph is correct for y = ⅖x + 2?

a)

A

b)

B

126.

#4 Which graph is correct for y = -¾x + 1?

a)

A

b)

B

127.

#8 Which graph is correct for y = -¼x + 3?

a)

A

b)

B

128.

#9 Which graph is correct for y = 4x?

a)

A

b)

B

129.

#10 Example: Convert x + 2y = 4 to slope intercept form and then graph.

a)

Got it

b)

I'm confused

130.

#11 Example: Convert 3x - 2y = -6 to slope intercept form and then graph.

a)

Got it

b)

I'm confused

131.

What kind of slope would this line have?

a)

positive

b)

negative

c)

zero

d)

undefined

132.

What is the slope of the line represented by the table?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

133.

What does the y-intercept (which is 20) represent in this situation?

a)

The cost per game

b)

The initial charge of renting games

c)

The cost of the first game

134.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

135.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

136.

Give the y-interecept
3x + y = 5

a)

-3

b)

(0,5)

c)

-5

d)

(0, -3)

137.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

138.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

139.

Name the x- and y-intercepts for the equation:
2x + y = 6

a)

(0, 3) and (6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, 6)

d)

(-3, 0) and (0, -6)

140.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

Alg 1 Test out part 1

Total questions: 140

Worksheet time: 8hrs 20mins

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