MHF4U NAME: ____________________________ DATE: ______________
UNIT 0 EXTRA PRACTICE
1. Simplify the following. Final solutions are below.
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2. Evaluate the following. 3. Evaluate the following given the functions below. Final solutions below.
Solutions Solutions 1) 7 2) 97 3) 6 4) 26 5) 20 a. -‐29 b. 16 c. -‐6 d. 23 e. 12/a f) -‐5
g) -‐6 h) +/-‐4 i. -‐3b-‐3c+1 j. !""!!+ 7
4. Expand and simplify the following. Final solutions to the right. Solutions
5. Solve the following linear equations. Solutions to the right. Solutions 13) -‐1 14) 4 15) 3 16) -‐1 17) 5 18) 4
6. Solve the following equations. Solutions below.
Solutions
7. Factor the following expressions. Final solutions below.
Solutions
8. Factor the following expressions. Final solutions. Solutions below.
Solutions Solutions
9. Simplify the following. Answers below. Solutions:
10. Simplify the following. Answers follow. Solutions:
11. Simplify the following radicals. Solutions below. 1. 32 2. 68 3. 5 90 4. 3 12 ∙ 2 3 5. !" !
! ! 6. 3 48− 4 27
Solutions 1. 4 2 2. 2 17 3. 15 10 4. 36 5. 4 6. 0 12. Find the solutions to the following quadratic equations. Solutions below. a) 𝑦 = 2𝑥 − 3 𝑥 + 2 b) 2𝑥! = 8𝑥 + 42 c) 2𝑥! − 8𝑥 = 0 d) 3𝑥! + 2𝑥 − 4 = 0 e) 𝑦 = 𝑥! f) 𝑦 = 16𝑥! − 9 Solutions: a) !
!,−2 b) 7, -‐3 c) 0, 4 d) − !
!± !"
! e) 0 f) !
!,− !
!
13. Determine if the following relations are linear, quadratic, or cubic. Solutions below. a) b)
Solutions: a) cubic b) linear 14. Determine the domains and ranges of the following relations. Use any method (reasoning, table of values, graphin, etc.) to justify your answer. Solutions to the right.
Solutions
x y -‐3 -‐29 -‐2 -‐10 -‐1 -‐3 0 -‐2 1 -‐1 2 6 3 25
x y -‐3 -‐5 -‐2 -‐3 -‐1 -‐1 0 1 1 3 2 5 3 7
