Free Printable Alg S1 Review

1.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

2.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

3.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

4.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

5.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

6.

Write the linear inequality in standard form for this situation:

A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.

a)

$14x+5y\ge1000$

b)

$14x+5y<1000$

c)

$14x+5y\le1000$

d)

$14x+5y>1000$

7.

Sarah received a $350 gift card to use at the Nike store. She buys a pair of shoes for $175 and 8 pairs of socks. She does not use the entire amount in the gift card. Which inequality can be used to find the price in dollars d of each pair of socks?

a)

$350+8d<175$

b)

$175+8d<350$

c)

$175d+8<350$

d)

$350-8d<350$

8.

Write the linear inequality in standard form for this situation:

The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology textbooks, which cost $57 each, and Chemistry textbooks, which cost $72 each.

a)

$57x+72y\ge2700$

b)

$57x+72y>2700$

c)

$57x+72y<2700$

d)

$57x+72y\le2700$

9.

Which ordered pair is a solution of the inequality?

$y\ge4x-5$

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

10.

$y<3x-3$

a)

dashed line/shaded below

b)

dashed line/shaded above

c)

solid line/shaded below

d)

solid line/shaded above

11.

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)

12.

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

a)

Solution

b)

Not a solution

13.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

14.

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)

$x+y\le300$
$7.5x+5.5y\ge2000$

b)

$x+y<300$
$7.5x+5.5y\ge2000$

c)

$x+y\le300$
$7.5x+5.5y\le2000$

d)

$x+y>2000$
$7.5x+5.5y\le300$

15.

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 allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

a)

$b+t<15$

$3b+6t>66$

b)

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

c)

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

d)

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

16.

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

a)

$y\le3x$ and $y\le-2x+4$

b)

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

c)

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

d)

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

17.

Which of the following points is a solution to the system of equations below?
$x+2y\ge4$
$3x−2y<4$

a)

(0, 0)

b)

(2, 1)

c)

(2, 2)

d)

(-1, 1)

18.

The graph of
$3x+3y<9$
is shaded... ???

a)

Over / Above

b)

Under / Below

19.

You can work a total of no more than 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system to represent the situation.

a)

$x+y\le254$
$5x+8y\ge41$

b)

$y\ge x+41$
$5x+8y\ge254$

c)

$x+y\le41$
$5x+8y\ge254$

d)

$x+y>41$
$5x+8y<254$

20.

Jonah is going to the store to buy candles. Small candles (s) cost $3.50 and large candles (L) cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80. Write a system to represent the situation.

a)

$3.5s+5L\le80$
$s+L\ge20$

b)

$s+L\le80$
$3.5s+5L\ge20$

c)

$s+L>20$
$3.5s+5L<80$

d)

$8.5L\le80$
$s+L\ge20$

21.

This graph matches which inequality?

a)

y > 3

b)

y ≥ 3

c)

x≥3

d)

x>3

22.

Given the system, determine a solution.

a)

No solution

b)

Infinite solutions

c)

(-5, 5)

d)

(5, -5)

23.

Given the graph, determine which is NOT a solution.

a)

(0, 0)

b)

(2, -1)

c)

(-2, -2)

d)

(-5, 1)

24.

Determine the ordered pair that IS a solution.

a)

(2, 2)

b)

(2, 4)

c)

(3, 2)

d)

(-3, 2)

25.

Graph the system of inequalities below using Desmos:
$y\le-2x+5;\ y>2x+7$
Which of the following is NOT a solution?

a)

(-4, 2)

b)

(-10, 7)

c)

(-3, 0)

d)

(-2, 6)

26.

The first 3 figures in a pattern are shown. Which of the following functions represents f(n), the number of small squares in figure n?

a)

$f\left(n\right)=n^2+2n$

b)

$f\left(n\right)=3n^2$

c)

$f\left(n\right)=3n$

d)

$f\left(n\right)=n^2+1$

27.

The table shows a relationship between values of x and y. Which of the following equations describes the relationship?

a)

$y=2x^2-1$

b)

$y=3x$

c)

$y=2x^2-2$

d)

$y=3x^2$

28.

A parabola intersects the x-axis at the points (-2,0) and (7,0). Which of the following could be the equation of the parabola?

a)

$y=x^2-2x+7$

b)

$y=x^2-5x-14$

c)

$y=x^2+5x-14$

d)

$y=x^2+7x-2$

29.

$\left(x-2\right)^2$ is equivalent to

a)

$x^2-4$

b)

$x^2+4$

c)

$x^2-4x-4$

d)

$x^2-4x+4$

30.

Use the trinomial expression to answer the following question.

$\left(2x-3\right)\left(x+2\right)=2x^2+$ (a) $-6$

31.

What are the x-intercepts for the function $f\left(x\right)=x^2+4x-45$

a)

$\left(0,5\right),\ \left(0,9\right)$

b)

$\left(-9,0\right),\ \left(5,0\right)$

c)

$\left(9,0\right),\ \left(-5,0\right)$

d)

$\left(0,9\right),\left(0,-5\right)$

32.

Which of the following is a common factor when $x^2-16$ and $x^2+5x-36$ are factored?

a)

$\left(x+4\right)$

b)

$\left(x-4\right)$

c)

$\left(x+9\right)$

d)

$\left(x-9\right)$

33.

$16x^2-9$ in factored form is (a)

34.

Given that $f\left(x\right)=-2x^2-3$ , what is the range of the function?

a)

$\left(3,\infty\right)$

b)

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

c)

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

d)

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

35.

What are the vertex and axis of symmetry of the parabola represented by $y=x^2-8x+12$

a)

vertex: (4,-4)

axis of symmetry: y=4

b)

vertex: (4,-4)

axis of symmetry: x=4

c)

vertex: (-4,60)

axis of symmetry: x=-4

d)

vertex: (-4,-60)

axis of symmetry: y=-4

36.

What is the end behavior of the graph of $f\left(x\right)=-0.25x^2-1.5x-2$ ?

a)

as x increases, f(x) increases.

as x decreases, f(x) increases.

b)

as x increases, f(x) increases.

as x decreases, f(x) decreases.

c)

as x increases, f(x) decreases.

as x decreases, f(x) increases.

d)

as x increases, f(x) decreases.

as x decreases, f(x) decreases.

37.

What is the average rate of change for the depth of the river between hour 3 and hour 18?

a)

1

b)

3

c)

6

d)

3/5

38.

What is the maximum value of the function?

a)

21

b)

9

c)

18

d)

24

39.

Over the interval [-4,-2] is the function increasing or decreasing?

a)

increasing

b)

decreasing

c)

neither

40.

Over what interval is the function negative?

a)

$\left(2,\infty\right)$

b)

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

c)

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

d)

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

41.

When you graph the system:
y > -2x + 1
y≤ x + 3
Which of the following is a solution?

a)

(2, 0)

b)

(-1, 2)

c)

(0, 4)

d)

(0, -4)

42.

This graph matches which inequality?

a)

y > 3

b)

y ≥ 3

c)

x≥3

d)

x>3

43.

Given the system, determine a solution.

a)

No solution

b)

Infinite solutions

c)

(-5, 5)

d)

(5, -5)

44.

Given the graph, determine which is NOT a solution.

a)

(0, 0)

b)

(2, -1)

c)

(-2, -2)

d)

(-5, 1)

45.

Determine the ordered pair that IS a solution.

a)

(2, 2)

b)

(2, 4)

c)

(3, 2)

d)

(-3, 2)

46.

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?

a)

(-4, 2)

b)

(-10, 7)

c)

(-3, 0)

d)

(-2, 6)

47.

a)

A

b)

B

c)

C

d)

D

48.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

49.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

50.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

51.

a)

A

b)

B

c)

C

d)

D

52.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

53.

What is the slope?

a)

m= -2/3

b)

m=3/2

c)

m=-3

d)

m=2

54.

Find the slope given the following points: (5,1) and (3,1)

a)

m=1/4

b)

m=0

c)

m=1

d)

m=undefined

55.

Write in slope intercept form given the slope: m=3 and y int: -2

a)

y=3x-2

b)

y=2/3x

c)

y=-2x+3

d)

y=3x

56.

Find slope:

a)

m= 4

b)

m=1/4

c)

m=-4

d)

m=-1/4

57.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

58.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

59.

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

a)

y=15x-25

b)

15x+25y=100

c)

25x+y=15

d)

y=15x+25

60.

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

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

61.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

62.

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

a)

y = 6.50x - 0.75

b)

y = 6.50x + 0.75

c)

y = 6.50x - 1.50 - 0.75

d)

y = 5x - 0.75

63.

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

a)

y = 5 + 12x

b)

y = 12x

c)

y = 7x + 5

d)

y = 12x + 12

64.

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
Write a linear model that shows how much money will be in the account after x months.

a)

y=25000x-1500

b)

y=25000+1500

c)

y=1500x+25000

d)

y=-1500x+25000

65.

Which situation can be represented by
y = 17x - 8?

a)

The number of seeds, y, needed to feed 8 hamsters 17 seeds each.

b)

The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.

c)

The cost, y, of buying 17 movie tickets that sell for $8 each.

d)

The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.

66.

Mr. Cabs has a gold membership at the local pet store to buy cheap mice to feed to his iguanas. The function y = 50 + 0.75x can be used to find the cost of purchasing the gold membership and buying x mice from the store. Based on this information, which statement about the graph of this situation is true?

a)

The y-intercept represents the number of mice Mr. Cabs purchased from the store.

b)

The slope of the line represents the cost of purchasing the gold membership.

c)

The y-intercept represents the cost of purchasing the gold membership.

d)

The slope of the line represents the total number of mice purchased by Mr. Cabs.

67.

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

68.

At what rate did the rain fall?

a)

2 cm per hour

b)

¹/₄ cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

69.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

70.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

71.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

72.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

73.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

74.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

75.

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

76.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

77.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

78.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

79.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

80.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

81.

What is the slope in this picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

82.

Find the slope of the line that passes through (-9, -6) and (-9, -10)

a)

0

b)

Undefined

c)

-3

d)

-9

83.

Determine the slope and y-intercept from the following equation: 4x + y = -10

a)

slope: 4 y-intercept: (0,10)

b)

slope: -4 y-intercept: (0,-10)

c)

slope: -4 y-intercept: (0,10)

d)

slope: 4 y-intercept: (0,-10)

84.

If m = 1/2 and b = -4, what is the correct equation in slope-intercept form?

a)

y=1/2x+4

b)

y=1/2x-4

c)

y=1/2-4

d)

y=4x+1/2

85.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

86.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

87.

Which situation can be represented by y=12x-4?
*Hint: Pay attention to your sign for your y-intercept*

a)

The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold

b)

The cost, y, of buying x movie tickets that sell for $8 each

c)

The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each

d)

The number of inches, y, in an x-foot-tall tree after cutting off 4 feet

88.

Write the equation of the line passes through the point (2,1) and has a slope = 4.

a)

a

b)

b

c)

c

d)

d

89.

Write the equation of the line passes through the point (3,-1) and has a slope of 2.

a)

a

b)

b

c)

c

d)

d

90.

Given the equation, 3x - 2y = -10, identify the slope and the y-intercept.

a)

slope: -3, y-intercept: -10

b)

slope: -2/3, y-intercept: -5

c)

slope: 3/2, y-intercept: 5

d)

slope: -3/2, y-intercept: 5

91.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

92.

What are the x- intercepts of the graph $y=\left(x-4\right)\left(x+5\right)$ ?

a)

$x=4,\ x=5$

b)

$x=-5,\ x\ =\ 4$

c)

$x=-4,\ x\ =\ 5$

93.

The x-intercepts of a quadratic equation are also known as the _____.

a)

roots

b)

solutions

c)

zeros

d)

formulas

94.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

95.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

96.

Solve the equation by graphing:

5x² - 35x + 60 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

97.

Solve using any method.

x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

98.

Solve the equation using any method:

4x²+2x - 6 = 0

a)

x = 1 & -1.5

b)

x = -1 & 1.5

c)

x = (-2 ±√92)/8

d)

x = (-2 ± √100)/8

99.

Determine how many solutions:

a)

One Solution

b)

Two Solutions

c)

No Solutions

d)

Infinitely Many Solutions

100.

Determine how many roots:

a)

One Solution

b)

Two Solutions

c)

No Solutions

d)

Infinitely Many Solutions

Alg S1 Review

Total questions: 100

Worksheet time: 6hrs 10mins

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