Free Printable SOL Prep 11-18-25

1.

Solve the equation: 6(x + 3) - (x + 4) = -11.

(a)

2.

What is the zero of the function graphed?

a)

4 only

b)

5 only

c)

No Solution

d)

4 and 5

3.

The equation y = x² + 3x - 18 is graphed. Based on this graph, what are the roots (x-intercepts) of the equation x² + 3x - 18 = 0?

a)

-3 and 6

b)

0 and -18

c)

3 and -6

d)

3 and -18

4.

Mark the zeros.

A

B

C

D

5.

$y=-3x^2-18x-20$

6.

Find the zero(s) of the function.

a)

x = -3

b)

x = 3

c)

x = -12

d)

x = 12

7.

What linear graph has an x-intercept of (1,0) and y-intercept of (0, -3)

a)

b)

c)

d)

8.

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

a)

A. g(x) = 2x²

b)

B. g(x) = 1/2x²

c)

C. g(x) = x² + 2

d)

D. g(x) = (x + 2)²

9.

Which equation is perpendicular to $y=-\frac{2}{7}x-5$ and passes through $\left(2,4\right)$ ?

a)

$y=-\frac{7}{2}x+3$

b)

$y=\frac{7}{2}x-3$

c)

$y=\frac{2}{7}x-\frac{6}{7}$

d)

$y=-\frac{2}{7}x+\frac{6}{7}$

10.

Solve using the Quadratic Formula:
$5x^2+3x-1=0$

a)

$x=\frac{3\pm\sqrt{29}}{5}$

b)

$x=\frac{8}{5}\ or\ x=-\frac{2}{5}$

c)

$x=\frac{-3\pm\sqrt{29}}{10}$

d)

No real solutions

11.

Review the STAAR question. Select your answer.

a)

A

b)

B

c)

C

d)

D

12.

Factor x² + 7x + 12

a)

(x + 2)(x + 10)

b)

(x + 3)(x + 4)

c)

(x + 4)(x + 5)

d)

(x + 4)(x + 6)

13.

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

14.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

15.

Which representation does not show y as a function of x?

a)

b)

c)

d)

16.

If given the equation

y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

17.

Find the best fitting quadratic model for the data given.

a)

y = 1.2x² + 13x + 504.3

b)

y = 12x² + 13x + 504.3

c)

y = .12x² + 1.3x + 504.3

18.

Using the curve of best fit, what would be the output (y) when the input (x) is 7?

a)

260

b)

240

c)

140

d)

320

19.

Which function matches the graph?

a)

A
f(x) = 2(3)^x

b)

B
f(x) = 3(2)^x

c)

C
f(x) = 3(6)^x

d)

D
f(x) = 3(½)^x

20.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

21.

Simplify each expression

$\left(6+m^3+m-3m^2\right)+\left(7m^3+11-6m+m^2\right)$

a)

7m³ - 3m² + 6m + 10

b)

13m³ + 12m² + 5m - 2

c)

8m³ - 2m² - 5m + 17

d)

8m³ - 4m² + 2m + 20

22.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

23.

Find f(-1):

$f\left(x\right)=3x^2-2x+8$

a)

13

b)

8

c)

16

d)

answer not here

24.

What is the trend for this scatter plot

a)

Negative

b)

Positive

c)

None

25.

Label the parts of the graph.

a)Y- Intercept

b)X-Intercept

c)X- Intercept

d)Vertex

1

2

3

4

1)

2)

3)

4)

26.

Write the equation for this word problem. 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)

331=6x+7

b)

331=7x+6

c)

331+7+6

d)

None of the above

27.

$f\left(x\right)\ =\ -\frac{4\left(x-3\right)}{5}$

What is the value of the zero of the function?

(a)

28.

What are the zeros and y-intercept of the function?

a)

x-intercepts = 4,1

y-intercept = 3

b)

x-intercepts = 3,1,-2,-5

y-intercept = 3.5

c)

x-intercepts = -3, -1, 2, 5

y-intercept = 3

d)

x-intercepts = -2,4

x-intercepts = -7

29.

What are the x-interepts for the graph of the function: y = x² - 3x - 10

a)

-5, 2

b)

-5, -2

c)

5, -2

d)

5, 2

30.

What are the zeros of the quadratic function?
y = x² - 2x - 15

a)

x = -2
x = -15

b)

x = -3
x = 5

c)

x = 3
x = -5

d)

x = 1
x = -16

31.

How many solutions (roots) does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

32.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

33.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

34.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

35.

Simplify. Assume no denominator is equal to 0.

$\frac{-9f^{-1}g^8h^{-3}}{6g^2h^9}$

a)

$\frac{-3g^6}{2fh^{12}}$

b)

$-3fg^{10}h^6$

c)

$\frac{-54fg^{16}}{h^{27}}$

SOL Prep 11-18-25

Total questions: 35

Worksheet time: 2hrs 9mins

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