Free Printable Algebra I Review (ISS Assignment)

1.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

2.

4x+8y=20
-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

3.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

4.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

5.

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

6.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

7.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

8.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

9.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

10.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

11.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

12.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

13.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

14.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

15.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

16.

Name the Solutions.

a)

No Solution

b)

x = -2, x = -6

c)

x = 0, x = -2

d)

x = 0, x= -6

17.

How many roots does this parabola have?

a)

3

b)

2

c)

0

d)

1

18.

Which of the following is NOT a linear equation?

a)

$y=4x$

b)

$x+y=11$

c)

$y=x^2-4$

d)

$y-6=2\left(x+1\right)$

19.

What is the slope of the line $y=-\ \frac{1}{2}x-\frac{5}{3}$ ?

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{5}{3}$

d)

$-\frac{5}{3}$

20.

Solve for x $4\left(x-5\right)+1=3x-12$

a)

$x=5$

b)

$x=-2$

c)

$x=-5$

d)

$x=7$

e)

none of these

21.

Rearrange this equation of a line to identify the y-intercept.

$2x-3y=-12$

a)

$\left(0,3\right)$

b)

$\left(-6,0\right)$

c)

$\left(-3,2\right)$

d)

$\left(0,4\right)$

22.

Solve for x.

$\frac{2x-5}{7}=\frac{3x-7}{14}$

a)

$x=3$

b)

$x=-1$

c)

$x=-7$

d)

$x=2$

23.

Find $f\left(7\right)$ if $f(x)=|2x-15|-8$

a)

$-9$

b)

$1$

c)

$-17$

d)

$-7$

24.

$y=-3x-1$ Pick the graph for the equation

a)

b)

c)

d)

25.

Solve this system of equations by graphing.

a)

$\left(3,1\right)$

b)

$\left(-1,3\right)$

c)

$\left(1,-3\right)$

d)

$\left(-3,1\right)$

e)

none

26.

Which of the following systems of equations has no solution?

a)

b)

c)

d)

27.

Solve this system of equations by any method.

a)

$\left(2,1\right)$

b)

$\left(0,5\right)$

c)

$\left(1,0\right)$

d)

$\left(0,2\right)$

28.

If a system of equations has infinitely many solutions, that means the lines are:

a)

perpendicular

b)

parallel

c)

the same line

d)

crossing

29.

What is the product $(4x-3)(3x+5)$

a)

$12x^2+11x-15$

b)

$7x+2$

c)

$7x^2-9x+20$

d)

none of these

30.

The solution to a system of equations (if it has a solution) should be a :

a)

plane

b)

circle

c)

point

d)

desk

31.

Simplify this expression:
$2(x^2-7x-3)+4(x-1)$

a)

$2x^2-3x-4$

b)

$x^2-14x-6$

c)

$6x^2-14x-10$

d)

$2x^2-10x-10$

32.

Simplify
$\left(3x-5\right)-\left(2x-7\right)$

a)

$x+2$

b)

$6x^2-31x+35$

c)

$5x-12$

d)

$5x+2$

33.

Write this in standard form and identify the degree
$-x^4-x+2-5x^3+2x^2$

a)

$-x^4-5x^3+2x^2-x+2,$ degree=10

b)

$-x^4-5x^3+x^2-x+2,$ degree=4

c)

$-x^4-5x^3+2x^2-x+2,\ \ \$ degree=4

d)

$-x^4-5x^3+x^2-x+2,$ degree=11

34.

What's another way to write this:
$\frac{2x^{-5}}{6x^7}$

a)

$\frac{1}{3x^{12}}$

b)

$\frac{x^{12}}{3}$

c)

$\frac{1}{4x^{12}}$

d)

$12x^{-35}$

35.

Simplify
$\left[4m^3n^5\right]^2$

a)

$16m^5n^7$

b)

$8m^6n^{10}$

c)

$16m^6n^{10}$

d)

$8m^5n^7$

36.

Solve for x
$\left(x-4\right)\left(x+2\right)=0$

a)

$x=\left\{-4,\ 2\right\}$

b)

$x=\left\{-2,\ 4\right\}$

c)

$x=\left\{-4.-2\right\}$

d)

$x=\left\{2,\ 4\right\}$

37.

Factor completely:
$x^2+12x-13$

a)

$(x+13)(x+1)$

b)

$\left(x-13\right)\left(x-1\right)$

c)

$\left(x-13\right)\left(x+1\right)$

d)

$\left(x+13\right)\left(x-1\right)$

38.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

39.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

40.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

41.

Is this table a function or not a function?

a)

Function

b)

Not a Function

42.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

43.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

44.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

45.

Who is your Algebra 1 Teacher?

a)

Ms. Diaz

b)

Ms. Ramirez

c)

Ms. Martin

d)

Ms. Williams

46.

What is x if

f(x) = -1?

a)

4

b)

0

c)

3

d)

6

47.

The function h(t) represents the amount made at Best Buy after t hours. What does the notation h(4) = 500,000 mean?

a)

After 500,000 hours Best Buy made $4

b)

Best Buy makes money at a rate of 500,000/4 hours per dollar

c)

After 4 hours Best Buy has made $500,000

d)

Best Buy makes money at a rate of $500,000 hours per week

48.

What is the range of the graph?

a)

-4 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

49.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

50.

Evaluate f(x) = x² for f(-8)

a)

64

b)

-64

c)

-16

d)

16

51.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

52.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

53.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

54.

$h\left(n\right)=\ n^2-2;\ Find\ h\left(-2n\right)$

a)

$4n^2-2$

b)

$9n^2-2$

c)

$n^2-2$

d)

$2+4n+n^2$

55.

$f\left(x\right)=3x-2;\ Find\ f\left(x-1\right)$

a)

$3x-8$

b)

$3x^2-2$

c)

$-2+\frac{3}{2}x$

d)

$3x-5$

56.

$k\left(n\right)=3n^2-1-2n$ Find $k\left(n+4\right)$

a)

$3n^4-1\ -2n$

b)

$-1-n+\frac{3}{4}n^2$

c)

$3n^2+22n+39$

d)

$\frac{1}{3}n^2-\frac{2}{3}n-1$

57.

$p\left(x\right)=-2x+3;\ Find\ p\left(-2+x\right)$

a)

$7-2x$

b)

$9+2x$

c)

$-2x+11$

d)

$8x+3$

58.

$h\left(x\right)=3x-5;\ Find\ h\left(\frac{x}{2}\right)$

a)

$12x-5$

b)

$-5+\frac{3}{2}x$

c)

$6x-5$

d)

$3x+7$

59.

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.

What does c(7) represent?

a)

A cost of $7 to ride the taxi

b)

The cost to ride 7 miles

c)

The minimum distance to ride a taxi

d)

The minimum cost of a taxi

60.

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

a)

g(8)=8. This means that after 8 packages of gum, the company makes $8.

b)

g(8)=42. This means that 8 packages of gum costs $42.

c)

g(8)=28. This means that 8 packages of gum costs $28.

d)

g(8)=24. This means that 8 packages of gum costs $24.

61.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

The plant grows at a rate of 5/4 inch per week

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

62.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

63.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

64.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

65.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

66.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

67.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

68.

What are the solutions?

a)

-2, 1

b)

1, 2

c)

-1,2

d)

0,-4

69.

What are the solutions?

a)

-.5, 3.5

b)

0,6

c)

-2.5, 4.5

d)

-1, 4

70.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

71.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

72.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

73.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

74.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

75.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

76.

What is another word for solutions

a)

zeros

b)

roots

c)

x-intercepts

d)

y-intercepts

e)

vertex

77.

Solutions to quadratic equations are the points where the functions intersects the y-axis.

a)

true

b)

false

78.

Is (-1,4) a solution to the line: 3y = -2x - 14

a)

Yes

b)

No

79.

Is (2,-3) a solution to the line: 2y - 3x = -12

a)

Yes

b)

No

80.

(y - 6x + 5) + ( 6y - 5x + 3) + ( 5y + 2x - 7)

a)

12y - 9x - 1

b)

12y - 9x + 1

c)

12y + 9x + 1

d)

12y + 9x - 1

81.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

8x + 6

d)

9 + 7x

82.

Simplify:

9(x + 2) - 4(x - 3)

a)

5x + 6

b)

5x - 1

c)

5x - 18

d)

5x + 30

83.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

84.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

85.

Find the average rate of change over the given interval.

a)

4

b)

7

c)

7/3

d)

3/7

86.

What is the average rate of change of [1, 5]?

a)

-0.65

b)

-0.75

c)

3.75

d)

4

87.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

88.

What is the average rate of change from x=0 to x=1

a)

-3

b)

3

c)

0

d)

2

89.

Which of the following intervals has the largest average rate of change?

a)

[13,14]

b)

[13, 17]

c)

[16, 17]

d)

[16, 19]

90.

Use the given function or the graph to find the average rate of change

a)

3

b)

-3

c)

3/2

d)

-1/3

91.

Use the given function or the graph to find the average rate of change

a)

5

b)

-1/5

c)

-5

d)

15

92.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

a)

2

b)

1/2

c)

-2

d)

-1/2

93.

What is the average rate of change of y = 2(3)^x at [2, 4]?

a)

72

b)

3

c)

36.8

d)

630

94.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

95.

Find ARC

a)

-4

b)

1/4

c)

-1/4

d)

4

96.

Which is the average rate of change over the interval $\left[0,10\right]$ ?

a)

5

b)

15

c)

0

d)

13

97.

$f\left(x\right)=15x+13$ Which is the average rate of change over the interval [0,10]?

a)

15

b)

5

c)

0

d)

13

98.

Which has the greatest rate of change?

a)

A

b)

B

99.

Which has the greater rate of change?

a)

A

b)

B

100.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

101.

Which inequality is graphed on the given coordinate plane?

a)

y > x + 1

b)

y < x + 1

c)

y ≥ -x + 1

d)

y ≤ -x + 1

102.

Rewrite this inequality in "y=" form to graph.
3x - 6y > 12

a)

y > ¹/₂x - 2

b)

y < -¹/₂x + 2

c)

y < ¹/₂x - 2

d)

y > -3x - 2

103.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

104.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

105.

Which is the graph of the system of inequalities?

a)

b)

c)

d)

106.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

107.

When you graph an inequality, you use a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

108.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

109.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

110.

Which point is a solution of the system above?

a)

(0, 0)

b)

(0, 1)

c)

(1, 0)

d)

(1, 1)

111.

The graph shows which inequality?

a)

y ≤ 2

b)

y ≥ 2

c)

y > 2

d)

x > 2

112.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

113.

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

a)

(0, 0)

b)

(2, 1)

c)

(2, 2)

d)

(-1, 1)

114.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

115.

Jasmine is helping her mom with a small vegetable patch. Tomato plants are selling for $4 and pepper plants are selling for $3. They don't want to spend more than $60.

Which combination of tomato plants and pepper plants will they be able to purchase?

a)

10 tomato plants and 9 pepper plants

b)

5 tomato plants and 15 pepper plants

c)

12 tomato plants and 6 pepper plants

d)

6 tomato plants and 11 pepper plants

116.

Solve for y:

5x + y = 16

a)

y = -5x + 16

b)

y = 5x + 16

c)

y = 5y - 16

d)

y = -5x - 16

117.

Solve m - n = 5 for m.

a)

m = n + 5

b)

m = n - 5

c)

m = 5n

d)

m = 5 - n

118.

Solve -2 = 4r + s for s.

a)

s = -4r + 2

b)

s = 4r - 2

c)

s = -4r - 2

d)

s = 4r + 2

119.

Solve IR = V for R.

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

120.

Solve:

y = mx + b , for b

a)

b = y - mx

b)

b = y + mx

c)

b = mx - y

d)

b = -y - mx

121.

Solve:

a - b + c = 9 , for a

a)

a = b - c + 9

b)

a = b + c - 9

c)

a = b + c + 9

d)

a = b - c - 9

122.

Solve for x.

z = xy

a)

x = ^z/_y

b)

x = ^y/_z

c)

x = yz

d)

x = z - y

123.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = ^a/_b

124.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

d)

x = vy + b

125.

Solve I = prt for r.

a)

r = ^I/_pt

b)

r = ^pt/_I

c)

r = I - pt

d)

r = pt - I

Algebra I Review (ISS Assignment)

Total questions: 125

Worksheet time: 12hrs 19mins

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