MID-TERM REVIEW
PAGE 1
Name______________________________
CHECKED PROBLEMS ONLY.
Period_________
SHOW ALL STEPS AS SHOWN IN EXAMPLE.
Evaluate the following expressions using the following values:
a = -5, b = -3, c = -2, x = 4 and y = 6
1. ab – c
2. 5c + ab
3. 6b(a + x)
5. -4bc + ab
6. (10abc) + (12xy)
7. ab + cx
9. b + xy
13. (-20)(-6)
10.
( xy )
( a + b)
14. (y – x) · (a – c)
11.
8y
⋅ (bc)
( a + b)
15. (c – b) + (x – y)
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4.
(5 x)
(b − a )
8.
(b − c)
( y − x)
12 c + a – b + xy
16
ay
+b
c
MID-TERM REVIEWPAGE 2
Algebraic Expressions with Exponents
Algebra
Name_____________________Period____
CHECKED PROBLEMS ONLY. SHOW ALL STEPS AS SHOWN IN EXAMPLE
Let a = 2, b = -3 and c = -4 for the following expressions:
c 2 ab
b2 + 7
1.
c2
−a
15.
c2
−a
8.
22. -b² – ac
2.
9a 2
2b
9. -a²
16
b2
c−b
23.
3.
− 7c 2
a 2 b 2 + 20
10.
a 2c
b2 −1
17.
− 5b 2
a3 +1
24. 2ac – 5b
4. –b² - ab
11.
b3
5−c
18.
7c
a2
25.
c3
8a 2
5. –c² + b²
12.
cb 2
3a
19.
bc 2
12
26.
ab 2 + c
a+c
6. –b² + a²
13.
ab 2
c−5
20.
ac 2
−4
27.
a3
c+a
14.
c2 − a2
b −1
21.
− a 2b
c
7.
7b 2
−a+b+c
9(b − a )
b2
28. –b²
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MID-TERM REVIEW
PAGE 4
Name______________________________________________
Period____________
Combining Like Terms
Simplify.
CHECKED PROBLEMS ONLY.
EXAMPLE.
SHOW ALL STEPS AS IN
1) 3y – 2x – 4y + x
2) 5x – 3y + 3y – x
3) 2y – 3x + x – 3y
4) -5y + 7x + 9y – 4x
5) 4x – 2y – y + x
6) -x + y – x – 2y
7) x + 3y – 2x + 2y
8) 9x – 12y + 12y
9) 5x + 2y – 3x
10) x + 4y – x – 3y
11) 9x – 11y – x + 12y
12) 3x – y + x + 6y
13) 6x + 11y – 5y + 9x
14) 4x + 2y – 4x + y
15) 9x – 8x + x
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MID-TERM REVIEW
PAGE 5
Name___________________________________________
Period________
ALL PROBLEMS NUMBERS 1 - 9. NO WORK NECESSARY.
Distributive Property
Use the distributive property.
1. 2(x + 3)
2. 3(x + 5)
3. 3(x – 2)
4. 7(x + 3)
5. 4(x – 7)
6. 4(x – 2)
7. 5(x + 4)
8. 8(x – 1)
9. 4(x – 5)
10. 7(x + 4)
11. 2(x + 4)
12. 7(x – 3)
13. 2(x – 3)
14. 2(x – 9)
15. 3(x – 5)
16. 3(x + 8)
17. 4(x + 9)
18. 7(x – 5)
19. 6(x – 7)
20. 9(x + 3)
21. 5(x – 1)
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MID-TERM REVIEW
PAGE 6
Simplifying Expressions
Algebra
Name____________________________Period_____
CHECKED PROBLEMS ONLY. SHOW ALL STEPS AS IN EXAMPLE GIVEN.
1. –(2x – 3x + 5)
8. –(–3a + 2b – b)
14. 2 – (7 – 4x) + x
2. –(2a + 3b + 4a)
9. 2 – (4x – 8)
15. b – (b + 3a) – 4a
3. –(3x + 7) + 2
10. -4y – (3x – 4y)
16. –(x – 3y) – (x – 4y)
4. 2y – (3y – 4)
11. 3a – (2a + 4b) – a
17. 3a – (a + 2) – 7
5. 5y – (4x + 7y) – 2x
12. 6 – (a – 4) + 2a
18. –(x – 4) – (x – 3)
6. – (3x – 4x + 7)
13. x – (2y – 3y) + x
19. 4y – 2y – (7 + y) + 2
7. –(–3a + 2b – a)
20. 3a – (2b – b + a)
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T
MID-TERM REVIEW
e
PAGE 7
xt
Combining Like Terms
CHECKED PROBLEMS ONLY.
EXAMPLE.
Algebra
Name___________________Period_____
SHOW ALL STEPS AS IN
1. -8x – (3 – 2x) – 2(4x + 1) – 4(-2x – 4)
8. -10x – 3 + 2(5 + 6x) – 9x – 3 – (1 – x)
2. -4(-2x – 7) + 6x – 7 – 2(3x – 2) + 3(-2x – 2)
9. 9 – 3(-4 + 3x) + 12x – 4 – (-3x – 3) - x
3. 6(-5x + 1) – 3(4x – 2) – 5x – 5 + 5(-3x – 2)
10. 7 – 4(-2x – 4) – (7x + 1) – 4x – 6 – (-4 – x)
4. -5 + (-3x + 2) – 5x – 2(9 – 2x) + 6x – 3
11. 3(-x – 5) – 4 – 2(x + 6) – 4x + 5 – 3(-5 – x)
5. -5(2 – x) + 4(3 – x) – 2x + 1 – x + 4(-2x – 4)
12. 9 – 3(-2x + 8) – 5x + 2(3x + 3) + 2(-6 + x)
6. -11 – 5(-2x + 4) – 2 + (x – 3) + 4(-4 – x)
13. 7x – 2(4 – 2x) + 6(5 – x) – x + 2 – (6x + 5)
7. -2x + 5 – 4(5 – 2x) + 3x – (9 – 5x) + 4
14. 9 – (-2 – 3x) + 4(-x + 6) – x + 12 – 3(2x – 3)
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