Download Math 10 Year Review Unit 1: Algebra Name Find the values of a, b, c

Math 10 Year Review Unit 1: Algebra
Name _____________________
Find the values of a, b, c and d in the equations below.
8a  3  5
1.
5.
2.
3.
10  4c  6
4.
8d  3  5d  6
Evaluate that following expressions:
a.
given p  6, and q  3
p 2 q  3  p  
b.
Given x  6, y  5, and z  2
(x)z  3 1 3  y 
2
c.
Given a  1, b  6, and c  2
a a  b 1a   12  b 2c  a  


6.
ABC is a triangle and the length of its sides is shown on the figure below.
B
9
–
2
x
2
x
C
A
3
x+2
If the perimeter = 34 cm, find the value of x by writing and solving an algebraic equation.
Math 10 – Year Review #1 Algebra 2013cy
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Math 10 Year Review Unit 1: Algebra
Name _____________________
x = ________________________
Solve the following equations.
7.
8.
6x  6  4  8x  6
9.
6(a  2)  3(a  2)
11. 7 p(3 2 p)  2 1 p   10
x 10  5  1
10.
3(y  2) 3

4
2
12. 3(a  6)  3(a  2)
13. Expand and simplify.
1

a. x  6  3x  

3
b. 2(m 1)  3(2  3m)
1

c.  2x  

2
2
Math 10 – Year Review #1 Algebra 2013cy
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Math 10 Year Review Unit 1: Algebra
Name _____________________
14. When a number is decreased by 6 and the result is doubled, the answer is equal to the original number. Find
the number by writing & solving an algebraic equation.
ANSWER:______________
Solve the following equations for the variables given.
15. Given that x and y are positive integers and
2x  3y  24 , find three possible pairs of
x and y numbers which make this equation
true.
(____,_____) (____,_____)
19. Solve for x:
2x  1
4
4x  5
Math 10 – Year Review #1 Algebra 2013cy
Solve for y:
3
1

2
y  2 2y  5
y =______________
(____,_____)
17. Make x the subject the following formula.
6y  2x 12y  15  x  6x
16.
18. Make x the subject the following formula.
2a
20
a
y
 6x 
 2x   3y
b
3
b
20. Expand and simplify
(2m  4)(5  3m  1)
3
Math 10 Year Review Unit 1: Algebra
21. Solve for a:
(2a  3)(a  3)  2a2  a  5
Name _____________________
22. A number plus its half, plus its third is
equal to 22. Find the number by writing
and solving an algebraic equation.
23. After tennis, Andy collects twice as many balls as Roger and five more than Maria. They
collect 35 balls in total. How many balls does Andy collect?
24. Peter, Kim and, Harrison have their 12th, 14th, and 15th birthdays today (2013). In what year
will their ages first total 101.
Math 10 – Year Review #1 Algebra 2013cy
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