Free Printable 2025 Algebra 1 Benchmark Review

1.

The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground.

Which function is best represented by the graph of this situation?

a)

$h\left(t\right)=-16t^2-64t$

b)

$h\left(t\right)=-16t^2+128t-256$

c)

$h\left(t\right)=-16t^2+64t$

d)

$h\left(t\right)=-16t^2-128t-256$

2.

The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

a)

$f\left(x\right)=15\left(\frac{6}{5}\right)^x$

b)

$f\left(x\right)=18\left(\frac{6}{5}\right)^x$

c)

$f\left(x\right)=18\left(\frac{5}{6}\right)^x$

d)

$f\left(x\right)=15\left(\frac{5}{6}\right)^x$

3.

Which graph represents $y=-4\left(x+3\right)-2$ ?

a)

b)

c)

d)

4.

The table of values shows a linear relationship between x and y. What is the rate of change of the line represented by the table of values?

a)

$-\frac{8}{5}$

b)

$-\frac{5}{8}$

c)

$\frac{8}{5}$

d)

$\frac{5}{8}$

5.

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of balance with respect to the number of deposits?

a)

$100 per deposit

b)

$50 per deposit

c)

$.50 per deposit

d)

$2 per deposit

6.

What are the equation and slope of the line?

Equation: (a)

Slope: (b)

Choose from the below words

$y=-6$

Zero

y=0

undefined

x=-6

Six

x=0

7.

The graph of a linear function is shown on the grid.

What value best represents the y-intercept of the line?

a)

$-2$

b)

$-\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$3$

8.

Linear function k has a zero of $-2$ and a y-intercept of 6. Which graph best represents k?

a)

b)

c)

d)

9.

The graph of quadratic function r is shown on the grid.

Which answer choice best represents the intercepts of the graph of r?

a)

x-intercept: $\left(5,0\right)$

y-intercepts: $\left(0,10\right)$ and $\left(0,-2\right)$

b)

x-intercepts: $\left(0,-10\right)\ and\ \left(0,2\right)$ y-intercept: $\left(-5,0\right)$

c)

x-intercept: $\left(0,5\right)$

y-intercepts: $\left(10,0\right)\ and\ \left(-2,0\right)$

d)

x-intercepts: $\left(-10,0\right)\ and\ \left(2,0\right)$ y-intercept: $\left(0,-5\right)$

10.

Which graph best represents a quadratic function that has no real zeros?

a)

b)

c)

d)

11.

The graph of quadratic function k is shown on the grid.

Which statements are best supported by the graph of k?

I. the x-intercept is located at $\left(-3,0\right)$

II. The coordinates of the y-intercept are $\left(0,9\right)$

III. The axis of symmetry is $x=-3$

a)

$I\ and\ II\ only$

b)

$I\ and\ III\ only$

c)

$II\ and\ III\ only$

d)

$I,\ II,\ and\ III$

12.

What is the range of the function $f\left(x\right)=-x^2+60x$ ?

a)

All real numbers that are greater than or equal to 0 and less than or equal to 30

b)

All real numbers that are greater than or equal to 0 and less than or equal to 60

c)

All real numbers that are greater than or equal to 900

d)

All real numbers that are less than or equal to 900

13.

The table represents some points on the graph of quadratic function g.

What is the range of g?

a)

All real numbers less than or equal to 80

b)

All real numbers less than or equal to 0

c)

All real numbers greater than or equal to 80

d)

All real numbers greater than or equal to 0

14.

A part of quadratic function g is graphed on the grid.

What is the domain of the part of the function shown?

a)

All real numbers greater than or equal to $-4$ and less than or equal to $5$

b)

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

c)

All real numbers greater than or equal to $-6$ and less than or equal to $6$

d)

All real numbers greater than or equal to $-2$ and less than or equal to $3$

15.

A part of linear function g is graphed n the grid.

Which inequalities best describe the domain and range of the part shown?

a)

Domain: $-4<x<5$

Range: $-7<g\left(x\right)<6$

b)

Domain: $-7<x<6$

Range: $-4<g\left(x\right)<5$

c)

Domain: $-4\le x\le5$

Range: $-7\le g\left(x\right)\le6$

d)

Domain: $-7\le x\le6$

Range: $-4\le g\left(x\right)\le5$

16.

The domain and range of part of linear function f are given.

$x\le6$

$y\ge-2$

Which graph could represent this part of linear function f?

a)

b)

c)

d)

17.

What value of m makes the equation $\frac{2}{3}\left(m-9\right)=\frac{1}{3}\left(m-27\right)\$ true?

a)

$-9$

b)

$-3$

c)

$-1$

d)

$-6$

18.

What is the solution to the equation $7w-2\left(w-9\right)=4-8\left(w+2\right)$

a)

$W=-\frac{26}{9}$

b)

$W=-\frac{10}{9}$

c)

$W=\frac{15}{13}$

d)

$W=-\frac{30}{13}$

19.

Function g is defined by $g\left(x\right)=3x^2-2x-5$ . What are the solutions to $g\left(x\right)=0$ ?

a)

$x=-1$ and $x=\frac{3}{5}$

b)

$x=-1$ and $x=\frac{5}{3}$

c)

$x=1$ and $x=-\frac{3}{5}$

d)

$x=1$ and $x=-\frac{5}{3}$

20.

What are the solutions to the equation $5\left(x+3\right)^2=75$ ?

a)

$-\frac{3}{5}\pm\sqrt[]{15}$

b)

$-\frac{3}{5}\pm\sqrt[]{3}$

c)

$-3\pm\sqrt[]{3}$

d)

$-3\pm\sqrt[]{15}$

21.

Which expression is equivalent to $6x^2+13x+5$ ?

a)

$\left(2x+5\right)\left(3x-1\right)$

b)

$\left(2x-5\right)\left(3x+1\right)$

c)

$\left(2x+1\right)\left(3x+5\right)$

d)

$\left(2x-1\right)\left(3x-5\right)$

22.

Which expression is equivalent to $\sqrt[]{184}$ ?

a)

$92$

b)

$2\sqrt[]{46}$

c)

$4\sqrt[]{23}$

d)

$4\sqrt[]{46}$

23.

Which expression is equivalent to $\frac{\left(q^4\right)^{-3}}{q^{-15}}$

a)

$q^{27}$

b)

$\frac{1}{q^{27}}$

c)

$q^3$

d)

$\frac{1}{q^3}$

24.

What is the solution to this system of equations?

$2x+y=40$

$x-2y=-20$

a)

$\left(12,16\right)$

b)

$\left(15,17.5\right)$

c)

There is no solution

d)

There are an infinite number of solutions

25.

Which ordered pair is in the solution set of $y\ge\frac{1}{3}x+4$ ?

a)

$\left(-6,1\right)$

b)

$\left(-1,6\right)$

c)

$\left(6,-1\right)$

d)

$\left(1,-6\right)$

26.

A function is shown.

$f\left(x\right)=7-4x$

What is the value of $f\left(-5\right)$ ?

a)

27

b)

$-13$

c)

$-15$

d)

140

27.

Which expression is a factor of $x^2+7x-30$ ?

a)

$x+15$

b)

$x-10$

c)

$x+5$

d)

$x-3$

28.

Which expression is a factor of $10x^2-19x+6$ ?

a)

$10x-3$

b)

$10x-1$

c)

$5x-3$

d)

$5x-2$

2025 Algebra 1 Benchmark Review

Total questions: 28

Worksheet time: 15mins

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