Free Printable Algebra 1 STAAR Prep Questions

1.

Solve 6(y + 2) - 4 = -10

2.

$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$

a)

$x\ =\ 2$

b)

$x\ =\ 8$

c)

$x\ =\ -2$

d)

$x\ =\ -8$

3.

Solve for x:
4(1-x)+3x=-2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

4.

Simplify the Expression: -4(x + 6) + 2(x - 2)

a)

2x + 28

b)

6x - 20

c)

-2x - 28

d)

6x - 28

5.

Write the expression in simplest form.
6(3x + 5) + 2(x - 4)

a)

11x + 22

b)

20x + 22

c)

20x + 1

d)

18x + 26

6.

Which expression is equivalent to

3x + ½(-12x - 16)

a)

-21x + (-32)

b)

9x + 8

c)

-3x - 8

d)

-6x - 8

7.

What is the rate of change in students per school bus?

a)

72 students per school bus

b)

144 students per school bus

c)

36 students per school bus

d)

40 students per school busy

8.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

9.

What is the rate of change in the following function:

$f\left(x\right)=4x-5$

a)

4

b)

4x

c)

5

d)

-5

10.

What is the rate of change?

a)

-10 ft per second

b)

15 ft per second

c)

10 ft per second

d)

-15 ft per second

11.

What is the rate of change in the following function:

$g\left(x\right)=7-14x$

a)

7

b)

14

c)

-14

d)

-14x

12.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

13.

Find the slope:

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{1}{4}$

d)

$\frac{3}{1}$

14.

Find the slope. Simplify, if you can.

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$2\ \frac{1}{2}$

d)

2

15.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

16.

What is the slope for the equation

y=-\frac{4}{3}x+9

?

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{4}{3}$

e)

9

17.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

18.

Find the slope of the line.

a)

0

b)

1

c)

undefined

d)

-1

19.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

a)

0

b)

Undefined

c)

-1

d)

1

20.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

21.

The line graphed has an x-intercept of (a) and a y-intercept of (b) .

Choose from the below words

(1,0)

(0,-4)

(-4,0)

(0,1)

(1,-4)

(-4,1)

22.

For the equation y = 2x - 6, what is the zero for this functional relationship?

a)

3

b)

-3

c)

2

d)

-6

23.

For the g(x) = 5x + 10, what is the zero of the function?

a)

5

b)

10

c)

2

d)

-2

e)

-10

24.

What is the zero(s) for the graph shown?

a)

-2

b)

-2 and 4

c)

4

d)

2

25.

Write each equation in slope-intercept form.

$9x+35=-5y$

26.

Write each equation in slope-intercept form.

$2y-6=-6x$

27.

Write each equation in slope-intercept form.

$6y-7x=-36$

28.

Write each equation in slope-intercept form.

$5y=-10x+5$

29.

Write the following equation in slope intercept form:

y - 3 = -2(x + 4)

a)

y=2x-5

b)

y=-2x+7

c)

y=-2x-5

d)

y=-2x +1

30.

Write the following equation in slope intercept form:

y - 4 = 1/2(x - 4)

a)

y = 1/2x

b)

y = 1/2x + 2

c)

y = 1/2x - 2

d)

y = 1/2x + 8

31.

What is the equation of the line in slope intercept form given a slope of ⅔ and the point ( 6, 19)

a)

y = ⅔ x - 15

b)

y = ⅔ x - 23

c)

y = ⅔ x + 15

d)

y = -⅔ x - 7

32.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

33.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

34.

Given the following table, write the linear equation.

a)

y = 2x + 7

b)

y = 4x + 7

c)

y = 2x + 5

d)

y = -2x + 5

35.

Which graph represents $y=-\frac{3}{2}x+4$

a)

b)

c)

d)

36.

Which equation represents the line shown on the coordinate plane?

a)

$𝑦=\frac{2}{5}𝑥−2$

b)

$𝑦=\frac{2}{5}𝑥+5$

c)

$y=-\frac{2}{5}𝑥+5$

d)

$𝑦=−\frac{2}{5}𝑥−2$

37.

Which equation represents this table?

a)

y = 2x - 5

b)

y = x

c)

y = x - 3

d)

y = 0.5x + 1

38.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

39.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

40.

Given f(x) = 16 - (x + 19)², find f(-14).

(a)

41.

Given f(x) = x² + 3x + 1, find f(-4).

(a)

42.

Given f(x) = -5x - 15, find f(4).

(a)

43.

(7x² - 3x) + (5x² + x + 3)

a)

12x² - 2x + 3

b)

2x² + 4x + 3

c)

12x⁴ + 2x² + 3

d)

2x² - 4x - 3

44.

(4a + 6ab - b) + (-2a - ab + 3b)

a)

2a + 7ab + 2b

b)

6a + 5ab - 2b

c)

6a + 7ab + 4b

d)

2a + 5ab + 2b

45.

Add the polynomials.

(2xy - 3x² + 4y - 5) + (-3xy + 4y² - 3y + 8)

a)

-1xy - 3x² + 4y² + 1y + 3

b)

-1xy + 1x² + 1y + 3

c)

-1xy + 1y² + 1y + 3

d)

1xy + 3x² + 4y² + 1y + 3

e)

None of these

46.

(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

47.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

48.

Multiply

(4x+3)(2x-1)

a)

8x²-2x-3

b)

8x-3

c)

8x²+6x-3

d)

8x²+2x-3

49.

Simplify the expression

(x - 3)²

a)

x² - 6x + 9

b)

x² + 9

c)

x² + 6x - 9

d)

x² + 6x + 9

50.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

51.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

52.

Which expression is equivalent to 56a³-8a?

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

53.

Which expression is equivalent to 2n³+16n+12?

a)

2n(n³+24n+6)

b)

2(n³+8n+6)

c)

2n(n³+8n+6)

d)

3(n³+8n+6)

54.

Which expression is equivalent to 18a²- 15a?

a)

15a(3a-1)

b)

3a(6a-1)

c)

3(6a-5)

d)

3a(6a-5)

55.

Find the factors of:

$x^2+7x+12$

(a)

56.

Factor:

$x^2+2x-15$

(a)

57.

Factor:

$x^2-8x+12$

(a)

58.

Factor:

$x^2-5x-24$

(a)

59.

What is one of the factors of:

$x^2-4x-21?$

(a)

Choose from the below words

(x-7)

(x-3)

(x+7)

(x+2)

60.

What is one of the factors of:

$x^2-x-30?$

(a)

Choose from the below words

(x+5)

(x+6)

(x-5)

(x-30)

61.

What is one of the factors of:

$x^2+4x-32?$

(a)

Choose from the below words

(x-4)

(x-8)

(x+4)

(x+12)

62.

What are the solutions of:

$x^2-11x+18?$

(a)

Choose from the below words

(-2, 0) (-9, 0)

(9, 0) (2, 0)

(0, -2) (0, -9)

(11, 0) (0, 22)

63.

What are the zeros of:

$x^2-6x-27?$

(a)

Choose from the below words

(9, 0) (-3, 0)

(3, 0) (-9, 0)

(0, -9) (0, -3)

(-9, 0) (0, 3)

64.

Find the zero(s) of the function.

a)

x = 1

b)

x = -3

c)

x = -1 and x=3

d)

x = 2

65.

Find the solution(s) of the function.

a)

x = -3 and x=5

b)

x = 3 and x=5

c)

x = -3 and x=-5

d)

x = 3 and x=5

66.

Find the root(s) of the function.

a)

x = 2 and x= -3

b)

x = -2 and x= -3

c)

x = -2 and x= 3

d)

x = 2 and x= 3

67.

What are the solutions of the function?

a)

$\left\{1,\ -5\right\}$

b)

$\left\{-1,\ 5\right\}$

c)

$\left\{0,\ -1\right\}$

d)

$\left\{0,\ 5\right\}$

68.

What are the roots of the function?

a)

$\left\{-1,\ -3\right\}$

b)

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

c)

$\left\{-4,\ 0\right\}$

d)

$\left\{0,\ 4\right\}$

69.

Which function has two solutions? (a)

Which function has one solution? (b)

Which function has no solution? (c)

Choose from the below words

$x^2-100$

$x^2-16x+64$

$x^2+9$

70.

Match the following:

a)

$x^2+2x-35$

1.

Two Solutions

b)

$x^2+10x+25$

2.

One Solution

c)

$-x^2-8$

3.

No Solution

71.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

72.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

73.

What is the simplified form of √140

a)

4√35

b)

10√14

c)

2√70

d)

2√35

74.

Which expression is equivalent to (3x³y⁵)⁴?

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

75.

a)

A

b)

B

c)

C

d)

D

76.

Which expression is equivalent to $\left(x^3y^{-4}\right)\left(2x^3y^{-1}\right)^3$ ?

a)

b)

c)

d)

77.

Which expression is equivalent to $\frac{\left(2m^{-1}n^2\right)^4}{\left(m^2n^2\right)\left(mn^4\right)}$ ?

a)

$\frac{16n^2}{m^7}$

b)

$\frac{8n^2}{m}$

c)

$\frac{16n^{10}}{m^2}$

d)

$\frac{8n^2}{m^7}$

78.

What are the domain and range of the graph?

a)

Domain: $-2\le x<5$

Range: $-3\le y<1$

b)

Domain: $-2<x\le5$

Range: $-3<y\le1$

c)

Domain: $-2\le y<5$

Range: $-3\le y<1$

d)

Domain: $x<3$

Range: $y>-2$

79.

What are the domain and range of the graph?

a)

Domain: {-4, 0, 2, 4}

Range: {-5, -4, -3, -1}

b)

Domain: {-5, -4, -3, -1}

Range: {-4, 0, 2, 4}

c)

Domain: {-5, -4, -3, -1}

Range: {-4, 1, 4}

d)

Domain: $-5\le x\le-1$

Range: $-4\le y\le4$

80.

What are the domain and range of the graph shown?

a)

Domain: {-2,0,2,4,6}

Range: {-7,-4,-1,2,5}

b)

Domain: {-7,-4,-2,-1,0,2,4,5,6}

Range: {-2,0,2,4,6}

c)

Domain:{-7,-4,-1,2,5}

Range: {-2,0,2,4,6}

d)

Domain: {-2,-1,0,2,5}

Range: {-7,-4,-2,-1,0,2,4,5,6}

81.

What are domain and range of the graph?

a)

Domain: $-4\le x\le3$

Range: $-1\le y\le4$

b)

Domain: $4<x<3$

Range: $-1<y<4$

c)

Domain: $-1\le y\le4$

Range: $-4\le x\le3$

d)

Domain: $-1<y<4$

Range: $-4<x<3$

82.

What are the domain and range of this graph?

a)

Domain: $-8\le y\le0$

Range: $-2<x\le7$

b)

Domain: $-2<y\le7$

Range: $-8\le x\le-5$

c)

Domain: $-2\le x<7$

Range: $-8\le y<0$

d)

Domain: $-2<x\le7$

Range: $-8\le y\le0$

83.

What are the domain and range of the graph?

*

a)

Domain: All real numbers

Range: All real numbers less than or equal to 3

b)

Domain: All real numbers less than or equal to 3

Range: All real numbers

c)

Domain: All real numbers

Range: All real numbers

d)

Domain: All real numbers greater than or equal to 0.25 and less than or equal to 3.75

Range: All real numbers greater than or equal to -1 and less than or equal to 3

84.

What is the domain?

a)

Domain: All real numbers

Range: y = 2

b)

Domain: All real numbers between -6 and 6

Range: All real numbers

c)

Domain: None

Range: All real numbers

d)

Domain: All real numbers

Range: All real numbers

85.

What is the domain and range of this graph?

a)

Domain: $x\le2$

Range: $f\left(x\right)\ge-2$

b)

Domain: $f\left(x\right)\le2$

Range: $x\le-2$

c)

Domain: $x\le-2$

Range: $f\left(x\right)\ge-1$

d)

Domain: $f\left(x\right)\ge-1$

Range: $x\le-2$

86.

a)

Domain: All real numbers

Range: All real numbers greater than or equal to -4

b)

Domain: All real numbers greater than or equal to -3 and less than or equal to 2.5

Range: All real numbers greater than or equal to -4

c)

Domain: All real numbers greater than or equal to -5 and less than or equal to 5

Range: All real numbers less than or equal to -4

d)

Domain: All real numbers

Range: All real numbers

87.

Find the equation of a line passing through the points (3, 1) and (5, 5).

Find m

Solve for b by using m, x, and y and substituting them into y=mx+b.

Substitute m and b into equation y=mx+b.

a)

y=5x+2

b)

y=5x-2

c)

y=2x-5

d)

y=2x+5

88.

Write the equation of the line that passes through the points (-5, -2) and (0, -1)

a)

y=1/5x-2

b)

y=1/5x+1

c)

y=1/5x+3

d)

y=1/5x-1

89.

In slope-intercept form, write the equation of the line passing through the points (-3,4) and (-4,2).

a)

y = -2x + 10

b)

y = -2x - 10

c)

y = 2x - 10

d)

y = 2x + 10

90.

A representation of a linear equation in two variables is graphed on the coordinate plane below.

Which linear equation in two variables can be used to represent the line?

a)

$2x+3y=12$

b)

$2x-3y=12$

c)

$y=-\frac{3}{2}x+4$

d)

$y=-\frac{2}{3}x+6$

91.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

92.

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)

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

93.

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)

$y=-2x+8$

94.

Which equation in standard form has a graph that passes through the point $\left(-4,\ 2\right)$ and has a slope of $\frac{9}{2}$ ?

a)

$9x-2y=36$

b)

$9x-2y=26$

c)

$9x-2y=-40$

d)

$9x-2y=-10$

95.

Write a linear equation in standard form for a line that passes through (-8, -7) with a slope of -⁵/₄.

a)

5x + 4y = -17

b)

5x - 4y = 68

c)

5x + 4y = 12

d)

5x + 4y = -68

96.

Write a linear equation in standard form for a line that passes through (2, 15) with a slope of 3.

a)

3x - y = -9

b)

3x + y = 9

c)

3x - y = 9

d)

3x + y = -9

97.

Solve for the unknown variable:

If y varies directly as x and y = 96 when x = 4, what is the value of y when x = 30?

(a)

98.

Solve for the unknown variable:

If a varies directly as b and a = 12 when b = 20, what is the value of b if a = 123? (no space)

(a)

99.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

100.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

101.

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan. Which statement describes the x-intercept of the graph?

a)

The x-intercept is 60, which represents the initial balance in dollars of the loan.

b)

The x-intercept is 27,000, which represents the initial balance in dollars of the loan.

c)

The x-intercept is 60, which represents the number of monthly payments needed to repay the loan.

d)

The x-intercept is 27.000, which represents the number of monthly payments needed to repay the loan.

102.

The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feel and the number of days the water level was measured. Which statement best describes the y-intercept of the graph?

a)

The water level increased by 0.25 feet per day.

b)

The maximum water level was 19.5 ft.

c)

The initial water level was 16 ft.

d)

The water level was measured for 14 days.

103.

Which line appears to have an x-intercept of -5 and a y-intercept of 3?

a)

b)

c)

d)

104.

Which of the following situations show causation?

Select the correct answer in each row.

A

B

C

D

E

F

105.

Which equation is best represented by the graph?

a)

$y+2=\frac{7}{5}\left(x+7\right)$

b)

$y-2=\frac{7}{5}\left(x-7\right)$

c)

$y+2=\frac{5}{7}\left(x+7\right)$

d)

$y-2=\frac{5}{7}\left(x-7\right)$

106.

Which situation best represents causation?

a)

When the number of bus stops increase, the number of car sales decrease.

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 the lake increases.

107.

A person travels by car. They record their miles driven in a data table. Which function best models the data?

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

108.

Which function best models the data?

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

109.

The chart below tracts starting salaries for health care workers since the year 2000. Which function best models the data?

a)

y = 839.721x + 27541.812

b)

y = 27541.812x - 839.721

c)

y = 27541.812x + 839.721

d)

y = 839.721x - 27541.812

110.

Which system of equations is represented by table 1 and table 2?

a)

$y=-2x\ +2$
$y=x-2$

b)

$y=x+6$
$y=x-2$

c)

$y=-3x+6$
$y=x-2$

d)

$y=3x+6$
$y=2x-5$

111.

What is the system of equations modeled by the two tables?

a)

$y=-x+1$
$y=2x-4$

b)

$y=x+1$
$y=2x-4$

c)

$y=-x+1$
$y=x-5$

d)

$y=2x-1$
$y=2x-4$

112.

Which system of equations can be solved to find the point that satisfies both equations?

a)

$y=2x-3$
$y=x+3$

b)

$y=-2x-3$
$y=x+3$

c)

$y=-2x-3$
$y=-x+3$

d)

$y=2x-3$
$y=-x+3$

113.

Two graphs are shown below. What is the system of equations represented by the graphs?

a)

$y=2x+2$
$y=x+1$

b)

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

c)

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

d)

$y=2x+2$
$y=-x+1$

114.

The tables give the cost of renting a bike from two different bike shops. The total charge, y, is a linear function of the number of hours a bike is rented, x, plus a service charge.

Which system of equations represents the situation?

a)

$y=12x+12$
$y=10x+6$

b)

$y=12x+12$
$y=12x+2$

c)

$y=8x+16$
$y=10x+6$

d)

$y=8x+16$
$y=12x+2$

115.

An Apex washing machine is cheaper than a Crown washing machine. However, the annual energy cost of an Apex are greater than those of a Crown. The table below shows the total cost of an Apex, including the energy cost. The graph shows the total cost of a Crown as a function of the number of year it is in operation.

Which system of equations models this situation?

a)

$y=60x+500$
$y=60x+600$

b)

$y=60x+500$
$y=50x+600$

c)

$y=60x+600$
$y=50x+500$

d)

$y=60x+620$
$y=50x+600$

116.

A town offers two monthly plans for riding city buses. For either plan, you purchase a monthly pass at a fixed price and pay an additional fee for each ride. The table below gives the total cost using the Silver Plan. The graph shows the relationship between the number of rides and the total cost for the Gold Plan.

Which system of equations models the situation?

a)

$y=2x+5$
$y=x+25$

b)

$y=\frac{1}{2}x+14$
$y=\frac{1}{5}x+25$

c)

$y=2x+5$
$y=\frac{1}{5}x+25$

d)

$y=\frac{1}{2}x+14$
$y=x+25$

117.

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and Large cups for $2.50. If Ashley sold a total of 155 cups for $265, which system could be used to determine the number of small (x) and large (y) cups she sold?

a)

x + y = 265
1.25x+2.5y=155

b)

x + y = 155
2.5x+1.25y=265

c)

x + y = 265
2.5x+1.25y=155

d)

x + y = 155
1.25x+2.5y=265

118.

At a holiday ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, which system could be used to determine the number of skis (s) and snowboards (b) rented?

a)

s+b=478
19s+16b=28

b)

s + b = 28
16s+19b=478

c)

s+b=478
16s+19b=28

d)

s+b=28
19s+16b=478

119.

Edwin bought 3 cd's and 7 dvd's for $80. Jessica bought 6 cd's and 3 dvd's for $63.75. Which system of equations could be used to determine how much one cd and one dvd costs?

a)

3x + 7y = 80
6x + 3y = 63.75

b)

3x + 3y = 80
6x + 7y = 63.75

c)

3x + 7y = 63.75
6x + 3y = 80

d)

6x + 7y = 80
3x + 3y = 63.75

120.

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

a)

c + s = 6
14c + 17s = 99

b)

c + s = 99
14c + 17s = 6

c)

c + s = 6
17c + 14s = 99

d)

c + s = 99
17c + 14s = 6

121.

Choose two equations that make up the system represented by the graph.

a)

y=6−2.5x

b)

y=2.5x+6

c)

y=6−3x

d)

y=0.8x

122.

The graphs of lines $k_1$ and $k_2$ are shown on the grid.

Which systems of equations is best represented by this graph?

a)

3x - y = 2

4x + 9y = 36

b)

3x - y = 6

4x + 9y = 4

c)

x - 3y = -18

9x + 4y = 9

d)

x + y = 10

9x + 4y = 13

123.

Which system of equations match the graph?

a)

x + y = 2

x - y = 4

b)

x - y = -2

x + y = 4

c)

x + y = 2

x + y = 4

d)

x - y = -2

x - y = 4

124.

A system of equations is graphed on the grid.

Which system of equations does the graph represent?

a)

y = -x - 4

y = 2x - 2

b)

y = -x + 4

y = 2x - 4

c)

y = x - 4

y = -2x - 2

d)

y = x + 4

y = -2x - 4

125.

Which of the following equations match the given graph?

a)

y ≤ -5/4 x + 3

b)

y ≥ -5/4 x + 3

c)

y < -5/4 x + 3

d)

y > -5/4 x + 3

126.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

127.

a)

y < -x - 5

b)

y > -x - 5

c)

y ≤ -x - 5

d)

y ≥ -x - 5

128.

a)

y < 5x + 1

b)

y > 5x + 1

c)

y ≤ 5x + 1

d)

y ≥ 5x + 1

129.

Which ordered pairs are in the solution set of the inequality below?

y<5x-4

a)

(4,2)

b)

(-3,-21)

c)

(2,7)

d)

(8,4)

e)

(0,-1)

130.

Which ordered pairs are in the solution set of the linear inequality below?

y>\frac{2}{3}x-3

a)

(6,-4)

b)

(3,9)

c)

(3,-1)

d)

(-3,-3)

e)

(-9,0)

131.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

132.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

133.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

134.

Which of the following is the graph of

3x - 2y < 10

a)

b)

c)

d)

135.

Which ordered pair is NOT a solution to y ≥ -x + 1?

a)

(2,1)

b)

(0,2)

c)

(-4,4)

d)

(-1,6)

136.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

137.

Which inequality below is equivalent to 3x - y > 4?

a)

y > 3x - 4

b)

y < -3x + 4

c)

y < 3x - 4

d)

y > -3x + 4

138.

Which inequality below is equivalent to 3x - 6y > 12?

a)

y > ¹/₂x - 2

b)

y < -¹/₂x + 2

c)

y < ¹/₂x - 2

d)

y > -3x - 2

139.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

140.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

141.

Match

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

142.

Which system of inequality 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 + 4

143.

Convert the inequality to Slope-Intercept Form:

$4x-3y>4$

a)

$y<\frac{4}{3}x-\frac{4}{3}$

b)

$y<-\frac{4}{3}x+\frac{4}{3}$

c)

$y>\frac{4}{3}x-\frac{4}{3}$

d)

$y>-\frac{4}{3}x+\frac{4}{3}$

144.

Convert the inequality to Slope-Intercept Form: $-x-2y\ge7$

a)

$y\ge-\frac{1}{2}x-\frac{7}{2}$

b)

$y\ge-2x-\frac{2}{7}$

c)

$y\le-\frac{1}{2}x-\frac{7}{2}$

d)

$y\le-2x-\frac{2}{7}$

145.

Convert the inequality to Slope-Intercept Form:

$2x\ \ -3y\ <6$

a)

$y\ <2x\ +\ 2$

b)

$y\ >\ -\frac{2}{3}x\ -2$

c)

$y\ >\ 5x\ +9$

d)

$y\ >\ \frac{2}{3}x\ -2$

146.

Convert the inequality to Slope-Intercept Form:

$-6x\ -\ 2y\ \le\ -4$

a)

$y\ =3x\ +\ 2$

b)

$y\ \ge-3x\ +2$

c)

$y\ \le-3x\ +2$

d)

$y\ \ge4x\ -6$

147.

What is the solution to this system of equations?

$y=6x-11$

$-2x-3y=-7$

a)

$\left(2,\ 1\right)$

b)

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

c)

$\left(2,\ 5\right)$

d)

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

148.

What is the solution to this system of equations?

$-7x-2y=-13$

$x=2y+11$

a)

$\left(3,\ -4\right)$

b)

$\left(3,\ 4\right)$

c)

$\left(-3,\ -4\right)$

d)

$\left(-3,\ 4\right)$

149.

What is the solution to this system of equations?

$x=5y-3$

$y-3x=37$

a)

$\left(12,\ 3\right)$

b)

$\left(0,\ 37\right)$

c)

$\left(-13,\ -2\right)$

d)

$\left(2,\ 43\right)$

150.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

151.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?

a)

40 nickels, 40 dimes

b)

52 nickels, 28 dimes

c)

28 nickels, 52 dimes

d)

30 nickels, 50 dimes

152.

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

a)

$5

b)

$10

c)

$15

d)

$20

153.

Select the equation that has zeros at the points $\left(\frac{1}{2},\ 0\right)\ and\ \left(-2,0\right)$ .

a)

$y=\left(4x-2\right)\left(x-2\right)$

b)

$y=\left(4x+2\right)\left(x-2\right)$

c)

$y=\left(4x-2\right)\left(x+2\right)$

d)

$y=\left(2x+4\right)\left(x+2\right)$

154.

Select the equation that has zeros at the points $\left(1,\ 0\right)\ and\ \left(5,0\right)$ .

a)

$y=\left(x-1\right)\left(x-5\right)$

b)

$y=\left(x+1\right)\left(x-5\right)$

c)

$y=\left(x-1\right)\left(x+5\right)$

d)

$y=\left(x+1\right)\left(x+5\right)$

155.

Select the equation that has zeros at the points $\left(2,\ 0\right)\ and\ \left(-4,0\right)$ .

a)

$y=\left(x-2\right)\left(x-4\right)$

b)

$y=\left(x+2\right)\left(x-4\right)$

c)

$y=\left(x-2\right)\left(x+4\right)$

d)

$y=\left(x+2\right)\left(x+4\right)$

156.

Find the solutions (also known as zeros and roots) of the quadratic equation:

3x²- 30= -9x

a)

x= 2, -5

b)

x= 5, -2

c)

x= -5, -2

157.

Find the solutions (also known as zeros and roots) of the quadratic equation:

x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

158.

Convert x²- 9x + 20 to factored form and find the zeros (also known as roots).

a)

(x-10)(x+2); x = -2, 10

b)

(x+4)(x+5); x = -5, -4

c)

(x-4)(x-5); x = 4, 5

d)

Not factorable

159.

The solutions of the quadratic equation
x²- x = 12 are

a)

x = 4 or x = -3

b)

x = -3 or x = -4

c)

x = 6 or x = 2

d)

x = 4 or x = 3

160.

Find the solutions (also known as zeros and roots) of the quadratic equation: x² + 12 = -13x

a)

x = -1, x = -12

b)

x = -1, x = -24

c)

x = -2, x = -6

d)

x = -2, x = -12

161.

Find the solutions (also known as zeros and roots) of the quadratic equation: x² - 24 = -2x

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

162.

Find the solutions (also known as zeros and roots) of the quadratic equation:

x² - 2x = 48

a)

x = 8, x = 6

b)

x = 8, x = -6

c)

x = -8, x = 6

d)

x = -8, x = -6

e)

No Real Solutions

163.

The axis of symmetry of this parabola is...

a)

y=4

b)

y=-4

c)

x=4

d)

x=-4

164.

Use the graph to determine the solutions.

a)

x= -1 and x= -3

b)

x=1 and x= -3

c)

x=1 and x=3

d)

x= -1 and x=3

165.

What is the vertex?

a)

(-3, 0)

b)

(3, 0)

c)

(0, 18)

d)

(18, 0)

166.

What is the vertex of the quadratic function shown?

a)

(5, 5)

b)

(-5, -5)

c)

(2, 0)

d)

(0, -2.5)

167.

Is this a max or min?

a)

maximum

b)

minimum

c)

cannot be determined

168.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

169.

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

170.

What is the minimum value?

a)

y= -1

b)

y= -3

c)

y= 0

d)

y= -1/2

171.

Label the Graph with the Correct Key Features.

1. (a) 2. (b)

3. (c) 4. (d)

Choose from the below words

Y-Intercept

Zero

Vertex

172.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

173.

Which of the following are true about the quadratic function shown? (Choose TWO answers)

a)

There are two roots

b)

the axis of symmetry is at x = -2

c)

the vertex is a maximum

d)

the vertex is (-2, 0)

174.

a)

y < 5x + 1

b)

y > 5x + 1

c)

y ≤ 5x + 1

d)

y ≥ 5x + 1

Algebra 1 STAAR Prep Questions

Total questions: 174

Worksheet time: 9hrs 6mins

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