Page 74 - Math Smart - 7

Iievision

O Work out the values of the following Q Write an equation for each problem and
expressions using: a = 2 and b = A. then solve for .v.
a) aft b) a) Amanda thinks of a number. She adds
ft 2 to the number and then divides it
c) d)
a by 4. The answer is 3. What is her
e) 3(a + ft) f) ab — Sb number?

Q Simplify the following expressions where b) Farhana thinks of a number, multiplies it
possible. by 3 and then adds 7. The answer is 25.
What is the number?
a) 9c - 4c
b) Sab + ISab 3 Write down an equation to represent the
c) 3m + 14p + 6m - 8p following problem. Explain why the answer
to the following is always 4.
d) 9xy + 6 + 4x
7
e) 12cd + 8 - llcd - Operations Algebraic Expressions
f) 2xy + Sx + 6yx - 4:c + 9 + 4y + Bz — 6 + Add 7 to the number.
4xyz - 4y + xyz Double your answer.
Q Simplify.
Subtract 6.
b
a) 4 X ax b b) 3a + a +
Divide by 2.
c) 8xb-bx8 d) S{b + 3)
Subtract the number
e) 3(x - 4) + 2x f) 6a + 2a(3 + 4ft) you started with.
O Write an algebraic expression for each of @ Solve each equation and write your answer in
the following.
the puzzle.
a) The number of days in x weeks.
b) The cost of apples if one apple Across
costs 75 c.
1. f=^
c) The number of cents in y dollars.
2. 6a = 12
d) The selling price of a shirt if the cost
CO 3. a-10 = 2
price is $a* and the discount is $y.
II 5. I +9 = 16
e) The sum of twice a number and 3 times
7. a-2 = 14
of another number.
8.
3 Solve for X.
9. a-7 = 16
a) 2x = 18 b) X + 7 = 10
11. 4a + 2 = 50
c) d) x-4 = 11 12. The value of 5a + 10 when a = 9.

13. The value of 2a + 2 when a = 12.
e) 4x + 7 = 19 f) 5x-2 = 20
X X - 8 o Down
g) 3 +5 = 10 h)
6
1. a-8 = 7
i) 2 + 3 (X - 4) = 14
2. a+ 4 = 28
j) 2(5x - 3) - 6x = 22
4. ^ =10

UNIT 3 I Introduction to Algebra and Equations