Free Printable 5/26 Review 9-2,-3 & -4

1.

Solve the equation using the AC Method. (Find the solutions/roots/zeros/x-int) $w^2-3w-28=0$

a)

w=-3,7

b)

w=7,-4

c)

w=6,7

d)

w=8,3

2.

Solve the equation. $\left(x+9\right)\left(x-4\right)=0$

Find the roots.

a)

x=9,0,-4

b)

x=-9,-4

c)

x=9,4

d)

x=-9,4

3.

Use the Zero-Product Property to solve the following equation. Simplify your answer. $-6t\left(6t-3\right)=0$

a)

t=0, -2

b)

t=0, 2

c)

t=0,1/2

d)

t=0, -3/6

4.

Use the x-intercepts of the parabola and the given point to write a quadratic function in factored form.

a)

f(x) = (x+1)(x-3)

b)

f(x) = (x-1)(x-3)

c)

f(x) = (x-1)(x+3)

d)

f(x) = (x+1)(x+3)

5.

The solutions of a quadratic equation are −10,5. Write a related quadratic function in factored form.

a)

f(x)=-5x(x+10)

b)

f(x)=10x(x-5)

c)

f(x)=(x+10)(x-5)

d)

f(x)=(x-10)(x+5)

6.

Solve the equation, find the roots. $\left(7x-3\right)\left(6x+14\right)=0$

a)

The solution set is {3/7, -7/3}

b)

The solution set is {3/7, 7/3}

c)

The solution set is {14/6, -7/3}

d)

The solution set is {3, -7}

7.

Simplify the radical expression. $\sqrt{60}$

a)

$2\sqrt{15}$

b)

$4\sqrt{15}$

c)

$6\sqrt{10}$

d)

$30\sqrt{2}$

8.

Simplify. Assume that the variables represent nonnegative real numbers. $\sqrt{25g^8h^5}$

a)

$5\sqrt{g^4h}$

b)

$5g^7h^4\sqrt{5gh}$

c)

$5g^2h^2\sqrt{h^4}$

d)

$5g^4h^2\sqrt{h}$

9.

Simplify the radical.

$-6\sqrt{48}$

a)

$-10\sqrt{3}$

b)

$-24\sqrt{3}$

c)

$-96\sqrt{3}$

d)

$6\sqrt{3}$

10.

Simplify the radical $5\sqrt{63}$

a)

$15\sqrt{7}$

b)

$10\sqrt{6}$

c)

$45\sqrt{7}$

d)

$75$

11.

Solve the equation by using square roots.

$4x^2-64=0$

a)

x=8

b)

x=4

c)

x=8,-8

d)

x=4, -4

12.

Solve the equation by finding square roots.

$10r^2+1000=2000$

a)

r=10

b)

r=100

c)

r=-100

d)

r=-10

e)

r=20

13.

Solve the equation by finding square roots. $x^2+23=203$

a)

$x=4\sqrt{12}\ and\ -4\sqrt{12}$

b)

$x=6\sqrt{5}\ and\ -6\sqrt{5}$

c)

$x=3\sqrt{20}\ and\ -3\sqrt{20}$

d)

$x=9\sqrt{5}\ and\ -9\sqrt{5}$

14.

Use the square root property to solve the quadratic equation.

$3x^2+12=0$

a)

x=4, -4

b)

x=3, -3

c)

There is no real solution.

d)

x=0

15.

$5x^2=50$

a)

$x=\sqrt{25}$

b)

$x=\sqrt{10}\ and\ -\sqrt{10}$

c)

$x=\sqrt{5}\ and\ -\sqrt{5}$

d)

$x=\sqrt{2}\ and\ -\sqrt{25}$

16.

Solve the quadratic equation by the square root property.

$3x^2-7=236$

a)

The solution set is {9.3,-9.3}.

b)

The solution set is {8.7,-8.7}.

c)

The solution set is {8,-8}.

d)

The solution set is {9,-9}.

17.

Solve the equation by finding square roots.

$-5a^2-75=64$

a)

The solution is 0.

b)

There is no real solution.

c)

The solution set is {-5,5}

d)

The solution set is {-2.3, 2.3}

18.

Simplify the radical.

$\sqrt{112e^7}$

a)

$4e^6\sqrt{7e}$

b)

$8e\sqrt{7e}$

c)

$4e^3\sqrt{7e}$

d)

$4e^2\sqrt{7e^1}$

19.

Simplify the radical.

$\sqrt{704}$

a)

$7\sqrt{7}$

b)

$11\sqrt{2}$

c)

$64\sqrt{11}$

d)

$8\sqrt{11}$

20.

Simplify the radical.

$\sqrt{245n^{11}m^4}$

a)

$7n^5m^2\sqrt{5n}$

b)

$7n^{10}m\sqrt{5nm^3}$

c)

$23nm\sqrt{10n^{10}m}$

d)

$5n^5m^2\sqrt{7nm^2}$

5/26 Review 9-2,-3 & -4

Total questions: 20

Worksheet time: 3hrs 20mins

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