Pre-Algebra Mid-Year Review Answer Key

 

Pre-Algebra Mid-Year Review Answer Key

1. 

The coefficient is the number that is multiplied by the variable in an algebraic expression.

2. 

A symbol that represents a quantity that can be changed is a variable.

3. 

numeric Identify the expression as numeric or algebraic. 16 x 4 + (40 - 8)

4. 

The product of a given whole number and an integer. For example: 3 x 3 = 9; 9 is a                  of 3.

1. Factor
2. Multiple
3. Prime Number
4. Composite Number

5. 

Which group contains only prime numbers?

1. 5, 13, 29, 47
2. 7, 11, 27, 43
3. 7, 19, 33, 41
4. 11, 17, 37, 39

6. 

Which property is shown below?
(7 + 4) + 6 = 7 + (4 + 6)

1. distributive property
2. associative property
3. identity property
4. commutative property

7. 

What operation is always used in distributive property?

1. addition
2. division
3. multiplication
4. subtraction

8. 

Find the equivalent of a(b−c)${\displaystyle a(b-c)}$.

1. (a)(b)−(c)${\displaystyle \left(a\right)\left(b\right)-\left(c\right)}$
2. (ab)(−c)${\displaystyle \left(ab\right)(-c)}$
3. (a)(b)(c)${\displaystyle \left(a\right)\left(b\right)\left(c\right)}$
4. (a)(b)−(a)(c)${\displaystyle \left(a\right)\left(b\right)-\left(a\right)\left(c\right)}$

9. 

Evaluate.

52${\displaystyle 5^2}$

1. 10
2. 15
3. 20
4. 25

10. 

Simplify the expression b4⋅b2${\displaystyle b^4\cdot b^2}$.

1. b16${\displaystyle b^{16}}$
2. b6${\displaystyle b^6}$
3. b2${\displaystyle b^2}$
4. b8${\displaystyle b^8}$

11. 

Which number would be closest to 99−−√${\displaystyle \sqrt{99}}$?

1. 8
2. 9
3. 10
4. 11

12. 

Evaluate.

−56÷(−29)${\displaystyle -\frac{5}{6}÷(-\frac{2}{9})}$

1. 1054${\displaystyle \frac{10}{54}}$
2. 715${\displaystyle \frac{7}{15}}$
3. 154${\displaystyle \frac{15}{4}}$
4. 2${\displaystyle 2}$

13. 

If mp=23${\displaystyle \frac{m}{p}=\frac{2}{3}}$, what can you conclude?

1. 3m=2p${\displaystyle 3m=2p}$
2. 2m=3p${\displaystyle 2m=3p}$
3. mp=6${\displaystyle mp=6}$
4. m+p=5${\displaystyle m+p=5}$

14. 

3 times the quantity m${\displaystyle m}$ minus 7

1. 3(m−7)${\displaystyle 3(m-7)}$
2. 3×m−7${\displaystyle 3\times m-7}$
3. 3−m${\displaystyle 3-m}$
4. 3×m7${\displaystyle 3\times m7}$

15. 

What value of n makes this number sentence true?

60 - n = 35

1. 95
2. 30
3. 35
4. 25

16. 

What is the value of b in the equation below and why?
b - 32 = 46

1. The value of b is 88 because 46 + 32 = 88
2. The value of b is 78 because 46 + 32 = 78
3. The value of b is 15 because 46 - 32 = 15
4. The value of b is 14 because 46 - 32 = 14

17. 

Evaluate the algebraic expression for the given value of x = 5.

8 + 6x

1. 38
2. 48
3. -38
4. -48

18. 

Use the correct order of operations to evaluate the following expression for a=2.

a + (6 x 8) - (1 x a)

1. -60
2. 46
3. 48
4. 62

19. 

Mrs. Gladstone has 4 times as many quarters as Mrs. Bowling. If q represents the number of quarters that Mrs. Bowling has, which of the following expressions represents the number of quarters Mrs. Gladstone and Mrs. Bowling have altogether?

1. (4 x q) + q
2. (4 + q) x q
3. (4 + q) + q
4. (4 x q) x q

20. 

Write using exponents.
4×4×4×4×4×4×4${\displaystyle 4\times 4\times 4\times 4\times 4\times 4\times 4}$

• 47${\displaystyle 4^7}$

21. 

Estimate the value of 75−−√${\displaystyle \sqrt{75}}$ to the nearest integer. Explain your reasoning.

• Since 75 is closer to 81 than 64, the square root of 75 is closer to 9 than to 8.

22. 

x+13=40${\displaystyle x+13=40}$

x=${\displaystyle x=}$

• x=27

23. 

half of the sum of 50 and a number, n

• 12(50+n)${\displaystyle \frac{1}{2}(50+n)}$

24. 

25 more than 1/2 times n

• 12n+25${\displaystyle \frac{1}{2}n+25}$

25. 

Your teacher gave the class the following problem to solve: 5+2×5−3${\displaystyle 5+2\times 5-3}$

Your friend, Jade, solved the problem this way:
5+2×5−3${\displaystyle 5+2\times 5-3}$
7×5−3${\displaystyle 7\times 5-3}$
35−3${\displaystyle 35-3}$
32${\displaystyle 32}$