Q9: Solve the following

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Grade 7 Term 2
Revision worksheet for the final test in Math
Q1 : Which of the following is the solution to the equation below?
x - 1.4 = 0.6
A 0.8
C 1.2
B 1.0
D 2.0
Q2: What is the value of y that satisfies the equation below?
y
= 12
3
A 3
C 36
B 4
D 63
Q 3: What is the solution to the equation below?
0.5 x  6
A 3
B 12
C 60
Q4: What is the value of y that satisfies the equation below?
y
 9
2
A 4.5
B 9
C 18
Q5: Which of the following values does not satisfy the equation x  2  3.5?
A 5
1
2
B 5.5
C 1.5
1
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Q6: Which of the following values does not satisfy the inequality 2 x  6  1 ?
A 4
C 2
B 3
D 1
Q7: Massimo has $90 in the bank. Every time he rides the bus he spends $3. Write and solve
an equation that Massimo can use to see how many times he can ride the bus.
_______________________________________
Q8: Timani bought a video game console and some games for $350. The video game console
cost $200. Each game cost $25. How many games did Timani purchase?
Q9: Solve the following
4
5
𝑎
3
𝑥=2
− 1 = −10
-5x = -40
-5a – 4 = 21
(𝑎+12 )
3
=3
1.5 (2a -2) = 6
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Q10: The product of x and five is thirty, what is x? write an equation and solve it
Q11: Factor the following:
45c + 15d=
18x + 9y =
28 – 4m =
9a + 6b =
Q12: Use the distributive property to simplify each expression:
4 (20 + 3x) =
2 (0.5 a – 6b) =
20 ( c + 2) =
Q13: Which of the following uses the Distributive Property?
A 0.4  (2a  0.3b)  0.4  (2a  0.3b)
B 0.4  (2a  0.3b) 
( 2a – 0.3b)
0.4
C 0.4  (2a  0.3b)  0.8a  0.12b
D 0.4  (2a  0.3b)  0.8a  0.12b
Q14: Which of the following shows the simplification of 0.5  (4a  6b) using the Distributive
Property?
A 2a  3b
B 3a  2b
C 4.5a  6.5b
Q15: Lani opened a savings account with $450. She saves $225 per month. Which equation
shows how much money Lani has in her account after m months?
A y = -
450
m
225
B y  450m  225m
C y  450  225m
D y  225  450m
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Q16: Write an equation for each phrase:
 The sum of twelve and three times a number m is 100
 Four more than three times a number a is 450
 Five less than the price “p” is 65
Q17: Adam solved the equation 3x  5  1.
His work is shown below.
Step 1: 3x  5  1
Step 2: 3x  6
Step 3: x  2
Where did Adam make an error in his calculation? Explain.
_______________________________________
_______________________________________
.
Q18: Alyson opened a savings account with $100. She saves $50 per month. Which of the
following equations can be used to find how much money she has in her account after x
months?
A 100  50x  y
B 50  100x  y
C 600  50x  y
Q19: Jason pays a $100 installation fee and
a $40 monthly service charge for his telephone. Which equation shows the amount that
Jason pays for x months
of telephone service?
A y  40  100x
B y  100  40x
C y  100  40x
Q20: Beth has $108.50 in her bank account. She buys x shirts for $5.50 each. Write and solve
an equation Beth can use to find how many shirts she can buy.
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Q21: Solve the following Inequalities:
-x > -3
1
2
𝑥<4
𝑥
− <8
4
2 a + 4 > 18
𝑥+3
2
> 7
3( x + 3) < 30
2x + 3 > x + 5
-5x + 1 > 26
Q22: Write an inequality:
 X is at most 90
 X is at least 20
 The product of x and 5 is less than 100
 The sum of x and 5 is greater than or equal to 90
Q:23: Alia has 1000 AED to spend for her birthday Party. The cost of the cake is 400 AED. He
needs to buy invitation cards for her 6 friends. There is a wide range of prices for invitation
cards. What suitable price of the invitation card x she will choose? Write an Inequality and
Solve it.
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