Free Printable ALG Unit 8 Day 3 Practice

1.

Solve\ by\ factoring:

2x^2+9x+4=0

a)

$x=\frac{1}{2},\ x=4$ $\left\{\frac{1}{2},4\right\}$

b)

$x=-\frac{1}{2},\ x=-4$ $\left\{-4,\ -\frac{1}{2}\right\}$

c)

$x=8,\ x=1$ $\left\{1,8\right\}$

d)

$x=\frac{1}{2},\ x=-4$ $\left\{-4,\ \frac{1}{2}\right\}$

2.

$8x^2-2x-3=0$

a)

$x=\frac{1}{2},\ x=\frac{3}{4}$ or $\left\{\frac{1}{2},\ \frac{3}{4}\right\}$

b)

$x=-\frac{1}{2},\ x=-\frac{3}{4}$ or $\left\{-\frac{3}{4}-\frac{1}{2}\right\}$

c)

$x=-\frac{1}{2},\ x=\frac{3}{4}$ or $\left\{-\frac{1}{2},\ \frac{3}{4}\right\}$

d)

$x=\frac{1}{2},\ x=-\frac{3}{4}$ or $\left\{-\frac{3}{4},\ \frac{1}{2}\right\}$

3.

$15x^2-x=6$

a)

$x=-\frac{3}{5},\ x=-\frac{2}{3}$ or $\left\{-\frac{2}{3},-\frac{3}{5}\right\}$

b)

$x=\frac{3}{5},\ \ x=\frac{2}{3}$ or $\left\{\frac{3}{5},\ \frac{2}{3}\right\}$

c)

$x=-\frac{3}{5}\ ,\ x=\frac{2}{3}$ or $\left\{-\frac{3}{5},\ \frac{2}{3}\right\}$

d)

$x=\frac{3}{5},\ \ x=-\frac{2}{3}$ or $\left\{-\frac{2}{3},\ \frac{3}{5}\right\}$

4.

$2x^2-6x=56$

a)

$x=-4,\ \ x=-7$

b)

$x=4,\ \ \ x=7$

c)

$x=4,\ \ x=-7$

d)

$x=-4,\ x=7$

5.

$2x^2+7x=4$

a)

$x=\frac{1}{2},\ x=4$

b)

$x=-\frac{1}{2},\ x=4$

c)

$x=\frac{1}{2},\ x=-4$

d)

$x=-\frac{1}{2},\ x=-4$

6.

$6x^2+13x=-6$

a)

$x=\frac{2}{3},\ x=\frac{3}{2}$

b)

$x=-\frac{2}{3},\ x=-\frac{3}{2}$

c)

$x=\frac{2}{3},\ x=-\frac{3}{2}$

d)

$x=-\frac{2}{3},\ x=\frac{3}{2}$

7.

$5x^2+29x-6=0$

a)

$x=\frac{1}{5}\ ,\ x=6$

b)

$x=-\frac{1}{5},\ x=-6$

c)

$x=-\frac{1}{5},\ x=6$

d)

$x=\frac{1}{5},\ x=-6$

8.

$2x^2-9x=5$

a)

$x=-\frac{1}{2},\ x=5$

b)

$x=-\frac{1}{2},\ x=-5$

c)

$x=\frac{1}{2},\ x=-5$

d)

$x=\frac{1}{2},\ \ x=5$

9.

Solve the equation using square root method.

$x^2-8\ =\ 1$

a)

x = 3 or x = -3

b)

no solutions

c)

x = 6 or x = -6

d)

x = 3

10.

Solve the equation using square root method.

$-9x^2=81$

a)

x = 3 or x = -3

b)

no solutions

c)

x = 6 or x = -6

d)

x = 3

11.

Solve the equation using square root method.

$\ n^2-10=-10$

a)

x = 0

b)

no solutions

c)

x = 4 or x = -4

d)

x = 4

12.

Solve the equation using square root method.

$\ 8n^2-10=-11$

a)

x = 3 or x = -3

b)

no solutions

c)

x = 5 or x = -5

d)

x = 16 or x = -16

13.

Solve the equation using square root method.

$\ 3x^2-9=3$

a)

x = 9 or x = -9

b)

no solutions

c)

x = 2 or x = -2

d)

x = 81 or x = -81

14.

Solve the equation using square root method.

$\ 16x^2+3=12$

a)

$x\ =\ \frac{9}{16}\ or\ x\ =-\frac{9}{16}$

b)

no solutions

c)

$x=3\ \ or\ x=-3$

d)

$x=\frac{3}{4}\ \ \ or\ \ \ x\ =-\frac{3}{4}$

15.

Solve the equation by square root method. Round your answer to the nearest hundredth.

$x^2-3=\ 24$

a)

x = 5.20

b)

x = 4.24

c)

x = 4.24 or x = -4.24

d)

x = 5.20 or x = -5.20

16.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

17.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

18.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

19.

The dotted green line on the graph represents the ...

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

y intercept

20.

Select all the different names for where the parabola crosses the x-axis.

a)

Vertex

b)

Root

c)

Zero

d)

Quartic

e)

x - intercept

21.

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)

22.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

23.

Make an equation where our parabola is shifted 3 units to the right and open upward.

a)

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

b)

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

c)

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

d)

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

24.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

25.

$y=4(x+2)^2-8$

Convert the equation from vertex form to standard form.

a)

$y=4x^2+16x+8$

b)

$y=4x^2+16x+16$

c)

$y=16x^2+64x-8$

d)

$y=16x^2+256x+8$

26.

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

a)

x = 4 and x = −3

b)

x = 2 and x = 1

c)

x = −4 and x = 3

d)

x = −2 and x = 1

27.

Solve using the Zero-Product Property.

7x(x − 6) = 0

a)

x =7 and x = −6

b)

x = 0 and x = 6

c)

x = 0 and x = −6

d)

x = 7 and x = 6

28.

Solve using the Zero-Product Property

(x −11)(5x + 1) = 0

a)

x = 11 or x = $-\frac{1}{5}$

b)

x = −11 or x = $-\frac{1}{5}$

c)

x = 11 or x = $\frac{1}{5}$

d)

x = −11 or x = $\frac{1}{5}$

29.

Factor and Solve:

m² − 100 = 0

a)

m = 50 , −50

b)

m = 10

c)

m = 10, −10

d)

m = −10

30.

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

a² + 2a − 24 = 0

a)

a = −6, 4

b)

a = 6, −4

c)

a = 12, −2

d)

a = 8, −3

31.

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

x² + 13x + 12 = 0

a)

x = −12, −1

b)

x = 12, 1

c)

x = 13, 1

d)

x = −13, −1

32.

Factor and solve:

z² − 14z + 45 = 0

a)

z = 1, 45

b)

z = −1, 45

c)

z = −5, 9

d)

z = 5, 9

33.

Which is the correct factoring and solutions? $2x^2+4x-16=0$

a)

2(x + 4)(x - 2) = 0; x = -4, 2

b)

2(x + 8)(x - 2) = 0; x = -8, 2

34.

x²- 14x - 51 = 0

a)

x= 17 and -3

b)

x= -17 and 3

c)

x= -17 and -3

d)

x = 17 and 3

35.

Solve.

3x² + 5x = 12

a)

x = -4/3, x = 3

b)

x = 4/3, x = -3

c)

x = -1, x = 4

d)

x = 1, x = -4

36.

Find the solutions

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

37.

Which equation matches these solutions? x = 5 and x = -7

a)

(x + 5)(x - 7) = 0

b)

(x - 5)(x + 7) = 0

c)

(x + 5)(x + 7) = 0

d)

(x - 5)(x - 7) = 0

38.

Solve by factoring: 5x² + 13x + 6 = 0

a)

x = -2 and x = -3/5

b)

x = 2 and x = 3/5

c)

x = -2 and x = 3/5

d)

x = 2 and x = -3/5

39.

Solve by factoring: 2x² - 5x - 12 = 0

a)

x = -4 and x = -6

b)

x = 4 and x = -3/2

c)

x = 4 and x = 6

d)

x = -4 and x = 3/2

40.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

41.

x²- 16 = 0

a)

x = 4

b)

x = -4

c)

x = -4 and 4

d)

x = 16 and -16

42.