Download Factoring and Solving equations Review

Factoring and Solving equations Review
1. Common Factor the following questions:
a) 14f + f2
b) 20m + 12n
c) 16ab - 12a2
d) 14ab + 12ab2 – 6a2b
2. Factor the following trinomials:
a) c2 + 2c - 8 b) x2 – 13x + 30
d) e2 + 10e + 16
c) y2 – 49
Math 9
3. Write the expression for the following statements:
a) 5 times a number b) twice a number less 6
c) 2 consecutive numbers
d) half his height plus four
4. Solve the following equations and “check” them:
a) 3a – 4 = 17
b) 6x + 8 = 3x + 2
d) 5a + 24 = -6
c) 6x – 3 = 5x + 2
5. Solve the following equations by simplifying first:
a) 5(b + 2) = 20
b) 5a + 2 – 2a = 7a – 5a + 6
d) 3 – 6b + 6 = 2b – 7
e) 1 x = 5
f) c - 1 = 1
3
3
2
4
c) 4 (b – 3) = 0
g) 2c + 1 = 6
3
3
6. Solve the following word problems using algebra
a) Find 2 consecutive numbers that add to 23.
b) Find 3 consecutive numbers that add to 117.
c) You buy a coat, boots and gloves. You spend $10 more on the boots than the gloves, and 5 times the amount
of money on the coat as the gloves. If you total is $150 what was the price of each?
d) Dan and Fred are brothers and there heights combined equals 10.2 m. If Fred is 0.2m taller than Dan. How
tall is each brother?
Advanced:
7 a) Sam is twice Jennie’s age. Three years ago the sum of their ages was 45. What are their ages today?
b) -3 + 4(a-1)= 3(a + 5)
c) The cash box has 61 bills. How many 2 dollar bills and 5 dollar bills are there if the total is $233
d) (a + 2)(-6a – 1) = (3a – 1)(-2a + 3)