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Final Review for Equations Quiz

Total questions: 20

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

Solve the given equation, writing your answer as a vulgar or an improper fraction.

a)

x = 3/17

b)

x = 5/17

c)

x = 9/17

d)

x = -4/17

2.

Solve the given equation.

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

3.

Solve the equation.

a)

x = 3/5

b)

x = 7/4

c)

x = 9/4

d)

x = 2/5

4.

Solve the equation:

4(3x-2) - (4x + 1) = 17

a)

x = 3

b)

x = 5/4

c)

x = 7/4

d)

x = 13/4

5.

Solve the equation

a)

x = 25/3

b)

x = 22/3

c)

x = 10/3

d)

x = 11/3

6.

Which of the following shows the information below?

The sum of three consecutive even numbers is 282.

(x is the smallest number)

a)

x + (x + 2) + (x + 4) + 282

b)

x + (x + 2) + (x + 4) = 282

c)

3x + 4 = 282

d)

x(x + 2)(x + 4) = 282

7.

Alfie has 15 more candies than Belinda. Alfie gives Belinda 5 candies. Now he has only 5 more candies than Belinda. How many candies did Alfie originally have?

a)

It's impossible to tell

b)

45

c)

55

d)

60

8.

Solve the equation:

5(x - 2) - 3(x + 4) = 2(x + 5) - 32

a)

All values of x work

b)

There are no solutions

c)

x = 2

d)

x = 6

9.

Rami has three times as much money as Sarah. If Rami received $10 and Sara received $20 then Rami would have twice as much money as Sarah. How much money does Sarah have?

a)

$120

b)

$40

c)

$30

d)

$90

10.

Nurzhan has some money in the bank. If he spent $120 then he would now have a quarter of the original money he had in the bank. How much money did he have in the bank originally?

a)

$420

b)

$480

c)

$160

d)

$180

11.

Given the formula v = u + at, if a = 7, u = 12 and v = 40, what is the value of t?

a)

t = 1

b)

t = 2

c)

t = 3

d)

t = 4

12.

If f(x) = 3x2 - 4x + 2, what is f(-2)?

a)

46

b)

24

c)

22

d)

48

13.

Coins are arranged in the patterns shown. If there are 10 horizontal coins, how many coins are there in total?

a)

26

b)

28

c)

32

d)

34

14.

The first five triangle numbers are shown in the picture. The formula for the nth triangle number is n(n+1)/2. Find the 20th triangle number.

a)

200

b)

210

c)

220

d)

230

15.

Pens cost 400 Tenge and pencils cost 200 Tenge. What is the total cost of n pens and m pencils, in terms of n and m?

a)

800nm

b)

600nm

c)

400m + 200n

d)

400n + 200m

16.

Solve the equation 2x + 4 = -20

a)

x = -8

b)

x = -12

c)

x = -26

d)

x = -16

17.

Solve the equation 4 - x = 8 + x

a)

x = -6

b)

x = 6

c)

x = 2

d)

x = -2

18.

Solve the equation 4(x + 8) = 4x + 20

a)

All real numbers

b)

There is no solution

c)

x = 3

d)

x = 4

19.

In the expression 5x2 + 7x - 3, what is the constant term?

a)

7

b)

5

c)

-3

d)

3

20.

If f(x) = 4x + 5, and f(a) = 1, what is the value of a?

a)

a = -1

b)

a = 9

c)

a = 1

d)

a = -9