# Math Expressions Worksheet With Answers - Grade 7 And 8 - University Of Waterloo - 2013 Page 10

Problem Set
1. Evaluate the following expressions.
(a) (2 + 3)
5
(15
20
5)
(b) (( 2 + 2 )
4
(10
2) )
(c) (2
3
9 )
3
(d) 2(30
(10
(4 + 12
4)) )
6
2. How much smaller is the sum of 3 and 7 than the product of 4 and 8?
3. If a = b = c = d and a + b + c + d = 16, what is the value of a
b
c
d?
4. *You are a contestant on the popular European game show Countdown. During a
“Numbers Round” you draw six numbers,
75 2 5 6 1 4
and a target.
273
multiplication, and division) in order to reach your target. You can only use each
number once, but you do not have to use all of your numbers. How close can you get?
5. If
is an operation deﬁned as p
q = p + 3pq
2q + 1, what is the value of 7
5?
6. Evaluate the following products without a calculator.
(a) 3
57
(b) 5
371
1
(c)
1256
2
(d) 23
32
(e) 17
142
7. Solve for x. Show all of your work.
x
15
(a) 2x + 3 =
7
(b) x + 4
2x = 3x + 20
(c)
+ 3 =
4
4
8. The product of 2, 4, 6, and x is equal to its sum. What is value of x?
9. Clark scored a total of 36 points in his basketball team’s ﬁrst four games. He scored
1
1
2
of these points in the ﬁrst game,
of these points in the second game, and
of the
4
6
9
points in the third game. How many points did he score in the fourth game?
x
y
10. If x
2y =
12 and
+ y = 8, then what is the value of
?
2
3x + 8
10