Page 59 - Math Smart - 7

Check My
Understanding

O Choose the correct answer.
a) 2(a + 5)
i) 2a + 10 ii) 2a + iii) 7a iv) 12a
5
b) 7(6 - 4)
i) 76-4 ii) 7p iil) 36 iv) 76 - 28
0 12(x + 5)
i) 12a: ii) 17a: iii) 12x + 60 iv) 12x +
5
d) 5(2/c-l)
i) 9k ii) 10k - iii) lOfe iv) lOfc
5
e Expand the expressions.
a) 2(x + 3) b) 3(6 + 5) c) -6(2+y) d) 3(a:-2)
e) -9(2-c) f) 5(12-/c) g) -Qixy + 1) h) -3(4c - 2)

O Expand the expressions,
a) 3(2a + 36 + 4) b) 4(3a: + 2y + 1) c) -2(4m + 5n-3)
d) 5(6x-4y-7) e) 7(5a - 36 + 5c) f) -6(7c + 2d - 4/)
O Expand and simplify the expressions.
a) 8(77i + 2) + 5(m + l) b) 4(5 + 36) + 6(2 + 66) c) 6(2 - 3y) + 5(6y - 3)

d) 4(7-3x)+5(2;c-3) e) 6 + 5(2x-3) + 12 f) 2a + 3(5a + 6) - 12 + 4a

Investigate!

Instructions
O Start with a number.
@ Add 5.

O Multiply 3.
O Subtract 15.
O Divide by 3.
O Write down the answer.

If you start with the number 10, you get: 10 •15 45 30 •10
a) Using the instructions above, find the answers for the following.

b) What do you notice about your answers in a)?
c) Write down the algebraic expression that you think represents this
set of instructions.