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Algebraic Reasoning - Quiz C3-1

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Simplify the expression

25(161)(39)225-(\sqrt{1}6-1)(3-9)^2  

a)

-83

b)

133

c)

43

d)

7

2.

Simplify the expression

52(9)+92÷3|5-2(9)|+9^2\div3  

a)

14

b)

40

c)

31

d)

23

3.

Evaluate the expression if c = 3 and d = -2

(4c+9d)2c2+3d2\frac{\left(4c+9d\right)^2}{c^2+3d^2}  

a)

3007\frac{300}{7}  

b)

12

c)

127\frac{12}{7}  

d)

-12

4.

Evaluate the expression if u = -1, v = 8, and w = -3

w211uv+2v2-w^2-11uv+2v^2  

a)

31

b)

49

c)

225

d)

207

5.

Simplify the expression

7x(5y)3(9x+2)4xy7x(5-y)-3(9x+2)-4xy  

a)

8x – 11xy – 6

b)

8x + 11xy + 6

c)

62x – 11xy – 6

d)

62x + 11xy + 6

6.

Simplify the expression

17(2w+3)+7(10w)17-(2w+3)+7(10-w)  

a)

9w + 84

b)

-9w + 84

c)

-9w +90

d)

9w +90

7.

Solve the equation

10(8p+3)=9(2p5)10-(8p+3)=9(2p-5)  

a)

p = 4

b)

p = 3

c)

p = 2

d)

p = 1

8.

Solve the equation

3a18=a+94\frac{3a-1}{8}=\frac{a+9}{4}  

a)

a = 16

b)

a = 17

c)

a = 18

d)

a = 19

9.

Solve the equation for b

9a=12a+3b49a=\frac{12a+3b}{4}  

a)

b = 8a

b)

b = 21a

c)

b = 8

d)

b = 21

10.

Solve the equation

9c+8=99-9|c+8|=-99  

a)

c = 3

b)

c = {-19, 3}

c)

c = -19

d)

c = {-3, 19}

11.

To solve the absolute value equation -6|8x - 4| = -72

- Step 1: _____ by _____ both sides to get |8x - 4| = 12

a)

Add

-6

b)

Subtract

6

c)

Divide

-6

d)

Multiply

6

12.

One number is 7 more than another and its square is 77 more than the square of the smaller number. What are the numbers?

Choose the correct equation for the word problem:

a)

x2 = (x + 7)2 + 77

b)

x + 7 = x2 +77

c)

x2 + 7 = x + 77

d)

(x + 7)2 = x2 + 77

13.

One number is 7 more than another and its square is 77 more than the square of the smaller number. What are the numbers?

a)

2 and 9

b)

2 and -9

c)

-2 and -9

d)

-2 and 9

14.

Solve the inequality

8m12>5(m8)3(m7)-8m-12>-5(m-8)-3(m-7)  

a)

Infinite solution

b)

No solution

c)

m < -12

d)

m > 61

15.

Solve the inequality

39w3>13\ge\frac{9-w}{3}>1  

a)

w0w\ge0  

b)

w<6w<6  

c)

0w<60\le w<6  

d)

6<w0-6<w\le0  

16.

Solve the inequality

q142\frac{\left|q-1\right|}{4}\ge2  

a)

(7,9)(-7,9)  

b)

(,7)(9,)(-∞,-7)∪(9,∞)  

c)

[7,9][-7,9]  

d)

(,7][9,)(-∞,-7]∪[9,∞)

17.

Graphing inequalities:

- Use (a)   circle for or\le or\ge  symbols.

18.

Graphing inequalities:

- Use (a)   circle for <or><or>  symbols.

19.

Graphing inequalities:

+ _______ indicate "not included" or "open"

+ _______ indicate "included" or "closed"

a)

(Parentheses)/

[Brackets]

b)

[Brackets]/

(Parentheses)

20.

Solving inequalities:

- Follow the same rules of solving equations.

- ______ the inequality symbol if you MULTIPLY or DIVIDE by a ______ number.

a)

Keep/zero

b)

Keep/negative

c)

Switch/positive

d)

Switch/negative