Free Printable Test 5-1 Review 2023

1.

Which of the following expressions have a sum of $7x^2-2x+10$ . Select three that apply.

a)

$\left(-3x^2-2x+5\right)+\left(10x^2+5\right)$

b)

$\left(12x^2-x-2\right)+\left(-5x^2-x+12\right)$

c)

$\left(6x^2+2x-8\right)+\left(2x^2-4x+18\right)$

d)

$\left(-4x^2+4x+7\right)+\left(11x^2-6x+3\right)$

e)

$\left(10x^2-7x-4\right)+\left(-3x^2+5x-6\right)$

2.

What is the perimeter of the triangle PQR shown?

a)

$7x-4$

b)

$9x-7$

c)

$9x+7$

d)

$7x+4$

3.

The graph of $f\left(x\right)=x^2$ has been translated 5.2 units to the left to create the graph of function g. Which function represents g?

a)

$g\left(x\right)=x^2+5.2$

b)

$g\left(x\right)=x^2-5.2$

c)

$g\left(x\right)=\left(x-5.2\right)^2$

d)

$g\left(x\right)=\left(x+5.2\right)^2$

4.

Find the area of the rectangle of the graph (hint: area = length $\cdot$ width

a)

$18x^2+12x+8$

b)

$18x^2+24x+8$

c)

$9x^2+9x$

d)

$9x^2+6x+8$

5.

The graph shows two parabolas, one of which is the parent function $f\left(x\right)=x^2$ . Which function describes the other parabola?

a)

$g\left(x\right)=f\left(x\right)+2$

b)

$g\left(x\right)=2f\left(x\right)$

c)

$g\left(x\right)=f\left(x\right)-2$

d)

$g\left(x\right)=\frac{1}{2}f\left(x\right)$

6.

The graph of f(x) = x²is over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

a)

b)

c)

d)

7.

What steps transform the graph of $y=x^2$

to $y=\left(x+5\right)^2-6$

a)

Reflection across the x-axis, horizontal shift 5 units to the left, vertical shift down 6 units

b)

Horizontal shift 5 units to the left, vertical shift down 6 units

c)

Horizontal shift 5 units to the right, vertical shift up 6 units

d)

Reflection across the x-axis, horizontal shift 5 units to the right, vertical shift up 6 units

8.

Graph the following function. How is the graph a translation from $f\left(x\right)=x^2?$

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

a)

b)

c)

d)

9.

Simplify $\left(4x+6\right)^2$

a)

$16x^2+48x+36$

b)

$16x^2+36$

c)

$18x^2+10x+36$

d)

$24x^2+36$

10.

Multiply $\left(x+3\right)\left(x+7\right)$ .

a)

$x^2+10x+10$

b)

$x^2+10x+21$

c)

$x^2+21$

d)

$2x+10$

11.

Simplify $\left(6c^2-3c+5\right)+\left(c^2+3c\right)$

a)

$7c^2+5$

b)

$5c^2-6c+5$

c)

$7c^2-4c$

d)

$7c^2+6c+5$

12.

Subtract $\left(x^2+7x-10\right)-\left(2x^2-2x+6\right)$

a)

$-3x^2+5x+4$

b)

$-x^2+9x-16$

c)

$-x^2+5x-4$

d)

$3x^2+5x-4$

13.

What is the product of the multiplication problem shown here? $\left(3x-1\right)\left(8x-7\right)$

a)

$24x^2+29x+7$

b)

$24x^2-29x-7$

c)

$24x^2-13x+7$

d)

$24x^2-29x+7$

14.

Fill in your answer by using the key pad at right. $\left(5x^2-4x+17\right)-\left(-x^2-4x+17\right)$

Test 5-1 Review 2023

Total questions: 14

Worksheet time: 36mins

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