1.
Solve the equation 7 = 2 + 5(
z
- 2).
A.
B.
C.
2
D.
3
Hint
2.
If 3.2
z
- 6 = 1.8 + 11
z
, what is the value of
z
?
A.
-1
B.
0
C.
1
D.
-2
Hint
3.
Find a solution to the equation using backtracking.
A.
x
= 9
B.
x
= 8
C.
x
= 10
D.
x
= 11
Hint
4.
Nine more than a number is the same as 18 less than 4 times the same number. What is the number?
A.
y
= –9
B.
y
= 9
C.
y
= –8
D.
y
= 8
Hint
5.
Write an equation that fits the balance puzzle below
A.
3
n
– 1 = 2
n
– 9
B.
3
n
+ 1 = 2
n
+ 9
C.
3
n
+ 9 = 2
n
+ 1
D.
2
n
+ 1 = 3
n
+ 9
Hint
6.
Bruce was filling jugs from a basin of water. When he had filled four jugs, 14 liters of water were left in the basin. When he had filled eight jugs, 4 liters of water were left in the basin. How many liters of water can fill one jug?
A.
2.5 liters
B.
2 liters
C.
1.5 liters
D.
1 liter
Hint
7.
Which equation has a solution of
x
= –4?
A.
6
x
+ 17 = –1 + 10
x
B.
1 – 10
x
= –17 + 6
x
C.
6
x
+ 17 = 1 – 10
x
D.
10
x
– 1.5 = –17.5 + 6
x
Hint
8.
Diana needed to borrow some money from her friends Zach and Kenyon. She told them that if it took more than 2 days to pay them back, she would triple the amount they borrowed her. Diana got a check for $60 and was able to pay them back, but it was three days later. Which expression represents the amount of money Diana had after paying her friends back?
A.
60 – (
x
+
y
)
B.
60 –
x
+
y
C.
60 – 3
x
+
y
D.
60 – 3(
x
+
y
)
Hint
9.
What is always the final answer to this
Think of a Number
trick?
Think of a number.Multiply by 2.
Add 4.
Divide by 2.
Add 6.
Subtract the number you started with.
A.
3
B.
14
C.
1
D.
8
Hint
10.
Simplify the equation.
y
= –2(
x
– 7) – (9 + 5x)
A.
y
= –16
x
+ 3
B.
y
= 7
x
– 5
C.
y
= 3
x
– 16
D.
y
= –7
x
+ 5
Hint