Free Printable G 9 Revison

1.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

2.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

3.

4x + 1 > 13

a)

x > 48

b)

x < 3

c)

x > 3.5

d)

x > 3

4.

Solve the following inequality. Show your algebraic work!

a)

b > 6

b)

b < -4

c)

b > 1

d)

b < -12

5.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

6.

Which is the solution of
-4 - 6m > -9m + 8?

a)

m < -4

b)

m > 4

c)

m < 15

d)

m > 36

7.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

-5x + 10 < 30

a)

0

b)

100

c)

-100

d)

-3

e)

-4

8.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

9.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

10.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

11.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

12.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

13.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

14.

Solve:

a)

{24}

b)

{-6, -8}

c)

{16, 4}

d)

{24, -24}

15.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

16.

Evaluate the expression.
|1 - 5|

a)

4

b)

-4

c)

-6

d)

6

17.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

18.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

19.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

20.

Which compound inequality involves <, ≤ when solving absolute value inequalities?

a)

and

b)

or

21.

Which compound inequality involves >,≥ when solving absolute value inequalities?

a)

and

b)

or

22.

| x | ≤ 3.5

a)

No Solution

b)

All Real Numbers

c)

-3.5 ≤ x ≤ 3.5

d)

x ≤ -3.5 or x ≥ 3.5

23.

| 2w - 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

-5 < w < 6

d)

-6 < w < 5

24.

|v + 8| − 5 = 2

a)

$x=-1\ \ \ ,\ \ \ \ x=-15$

b)

$x=-1\ \ \ ,\ \ \ x=-5$

c)

$x=15\ \ \ ,\ \ \ x=-15$

d)

No Solution

25.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

26.

| x + 9 | = -5

a)

$x=-14$

b)

$x=-4$

c)

$x=-14\ \ \ ,\ \ \ x=4$

d)

$no\ solution$

27.

−2|−2r − 4| = -12

a)

$r=5\ \ ,\ \ r=1$

b)

$r=-5\ \ ,\ \ r=1$

c)

$r=-5$

d)

No Solution

28.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

29.

3| −8x| + 8 = 80

a)

$x=-\frac{7}{3}\ \ \ ,\ \ \ x=\frac{7}{3}$

b)

$x=3\ \ \ ,\ \ \ x=-3$

c)

$x=\frac{11}{3}\ \ \ ,\ \ \ x=-\frac{11}{3}$

d)

No Solution

30.

$\left|4x-15\right|=\left|x\right|$

a)

$x=5\ \ \ or\ \ \ x=3$

b)

$x=-5\ \ \ or\ \ \ x=-3$

c)

$x=5\ \ \ or\ \ \ x=-3$

d)

$x=-5\ \ \ or\ \ \ x=3$

31.

Solve:

|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

x < 5 or x > -11

d)

no solution

32.

| 2w - 1 | < 11

a)

No Solution

b)

5 < w < 6

c)

-5 < w < 6

d)

-6 < w < 5

33.

| x + 3 | ≤ 2

a)

No Solution

b)

All Real Numbers

c)

-5 ≤ x ≤ -1

d)

1 ≤ x ≤ 5

34.

3 | 2t - 3 | - 5 > 16

a)

No Solution

b)

All Real Numbers

c)

t < -2 or t > 5

d)

-2 < t < 5

35.

$\left|-x-10\right|+4<-8$

a)

no solution

b)

x > 2 or x < -22

c)

-22 < x < 2

d)

all real numbers

36.

Factor Completely.
$4x^2+24x-64$

a)

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

b)

$4(x^2+6x-16)$

c)

$4\left(x^2+24x-16\right)$

d)

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

37.

Factor Completely.
$5x^2-40x+80$

a)

$5\left(x+4\right)^2$

b)

$5\left(x^2-8x+16\right)$

c)

$5\left(x-4\right)^2$

d)

$5\left(x^2-40x+16\right)$

38.

Factor Completely.
$25x^2-100$

a)

$5\left(x+4\right)\left(x-4\right)$

b)

$5\left(x^2-20\right)$

c)

$25\left(x^2-4\right)$

d)

$25\left(x+2\right)\left(x-2\right)$

39.

Factor Completely.
$8x^2-200$

a)

$8\left(x+5\right)\left(x-5\right)$

b)

$8\left(x^2-25\right)$

c)

$4\left(2x^2-50\right)$

d)

$4\left(2x+25\right)\left(2x-25\right)$

40.

Factor Completely.
$5x^3-20x$

a)

$x\left(5x^2-20\right)$

b)

$5x\left(x^2-4\right)$

c)

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

d)

$5x\left(x+4\right)\left(x-4\right)$

41.

Factor Completely.
$3x^3+78x^2+507x$

a)

$3x\left(x^2+26x+169\right)$

b)

$3x\left(x+13\right)^2$

c)

$3x\left(x+13\right)\left(x-13\right)$

d)

$3\left(x^3+26x^2+169x\right)$

42.

Factor Completely.
$3x^2+24x+48$

a)

$3\left(x+4\right)^2$

b)

$3\left(x^2+8x+16\right)$

c)

$3\left(x-4\right)^2$

d)

$3\left(x^2+24x+48\right)$

43.

Factor Completely.
$2x^3-16x^2+32x$

a)

$2\left(x^3-8x^2+16x\right)$

b)

$2x\left(x^2-8x+16\right)$

c)

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

d)

$2x\left(x-4\right)^2$

44.

Factor Completely.
$3x^2+6x-105$

a)

$3\left(x^2+2x-35\right)$

b)

$3\left(x+7\right)\left(x-5\right)$

c)

$3\left(x-7\right)\left(x+5\right)$

d)

Prime

45.

Factor Completely.
$4x^2-24x+36$

a)

$4\left(x+3\right)\left(x-3\right)$

b)

$4\left(x^2-6x+9\right)$

c)

$4\left(x-3\right)^2$

d)

$4\left(x+3\right)^2$

46.

ax²+bx+c=0 is the standard form of a quadratic equation.

a)

True

b)

False

47.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

48.

12. Solve using any method.

(x - 2 )² -49 = 0

a)

5, 9

b)

^{-9, -5}

c)

9, -5

d)

^{9, -9}

49.

Solve the quadratic: n² - 5 = -4

a)

n = ±√9

b)

n = ±3

c)

n = ±1

d)

No real solution

50.

Determine the values of

a, b, and c for

the quadratic equation:

4k² = 3 + 8k

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

51.

Solve the following quadratic equation...

x² + 3x + 2 = 0

a)

x = -1

x = -2

b)

x = 1

x = 2

c)

x = -1

x = 2

d)

x = 1

x = -2

52.

What are the solutions for 2(r−7)²= 32 ?

a)

7±√32

b)

±√65

c)

3 and 11

d)

-1 and 15

53.

What is the degree of every Quadratic Equation?

a)

1

b)

2

c)

3

d)

4

54.

Solve

(n +7)(n + 9) = 0

a)

n = -7; n = 4

b)

n = 7; n = -9

c)

n = -3; n = 10

d)

n = -7; n = -9

55.

k² - 2k = 0

a)

k = 2 and 0

b)

k = -2 and 0

c)

k = 2

d)

k = 0

56.

Solve by taking square roots:

k² - 6 = -50

a)

k = ±4i√11

b)

k = ±4√11

c)

k = ±2i√11

d)

k = ±2√11

57.

Solve by taking square roots:

3 - 9r² = 12

a)

± 9i

b)

± 1

c)

± 1

d)

± i

58.

Solve by taking square roots.

x² = -121

a)

± 11

b)

± 11i

c)

± 12

d)

11i

59.

Solve the equation by factoring.
x² + 13x + 40 = 0

a)

-8, 5

b)

-40, -1

c)

5, 8

d)

-8, -5

60.

explain why or why you could not use square roots to solve this equation.

3x^2+5x\ =25

a)

You can because 25 is a perfect square

b)

you can not because it has a linear (x or middle) term

c)

you can because you Know a, b and c

d)

you can not because it has an equal sign

61.

Factor:

2x² + 11x + 14

a)

(x + 7)(x +4)

b)

(x + 2)(2x + 7)

c)

x = 2 and x = 7/2

d)

x = -2 and x = -7/2

62.

Solve for x

4x²-5x-9=0

a)

x=-1 or x=9/4

b)

x=1 or x=9/4

c)

x=2 or x=3

d)

x=-2 or x=-3

63.

Solve the equation by using the zero-product property: (2x-1)(x+6)=0

a)

$x=-\frac{1}{2}\ or\ x=6$

b)

$x=\frac{1}{2}\ or\ x=-6$

c)

$x=2\ or\ x=-6$

d)

$x=1\ or\ x=-6$

64.

Expand the quadratic equation: (5x-2)(2x+1)=0

a)

$10x^2\ -x-2=0$

b)

$10x^2\ -9x-2=0$

c)

$10x^2\ +x-2=0$

d)

$10x^2\ +6x\ -2=0$

65.

Solve the equation by factoring: $4x^2\ +\ 10x\ -24=0$

a)

$\frac{3}{2},\ -1$

b)

$-4,\ \frac{3}{2}$

c)

$4,\ -1$

d)

$-4,\ 4$

66.

Write a quadratic equation in factored form given its roots. $x=0\ and\ x=7$

a)

$x\left(x+7\right)=0$

b)

$x\left(x-7\right)=0$

c)

$x-7=0$

d)

$0\left(x-7\right)=0$

G 9 Revison - T1 and T2

Total questions: 66

Worksheet time: 6hrs 59mins

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