Free Printable Advanced Algebra Chapter 1 Review

1.

An algebraic (a) contains an equal sign

Choose from the below words

equation

expression

2.

(a) are a subset of the set of integers

Choose from the below words

Rationals

Whole numbers

3.

If x + 3 = y, then y = x + 3 is an example of the (a) Property of Equality

Choose from the below words

Transitive

Symmetric

4.

Find the value of this expression

$\left[\left(3+6\right)^2\div3\right]\times4$

5.

Find the value of this expression

$\frac{20+4\times3}{11-3}$

6.

Find the value of this expression

$0.5\left(2.3+25\right)\div1.5$

7.

evaluate the expression if a = -9, b = $\frac{2}{3}$ , c = 8, and d = -6

$\frac{db+4c}{a}$

8.

evaluate the expression if a = -9, b = $\frac{2}{3}$ , c = 8, and d = -6

$\frac{a}{b^2}+c$

9.

evaluate the expression if a = -9, b = $\frac{2}{3}$ , c = 8, and d = -6

$2b\left(4a+a^2\right)$

10.

Name the set of numbers to which $\sqrt[]{17}$ belongs.

(Select all that applies)

a)

Irrationals

b)

Rationals

c)

Integers

d)

Wholes

e)

Naturals

11.

Name the set of numbers to which $0.86$ belongs.

(Select all that applies)

a)

Irrationals

b)

Rationals

c)

Integers

d)

Wholes

e)

Naturals

12.

Name the set of numbers to which $\sqrt[]{64}$ belongs.

(Select all that applies)

a)

Irrationals

b)

Rationals

c)

Integers

d)

Wholes

e)

Naturals

13.

Name the property illustrated:

a)

$\left(7\cdot s\right)\cdot t=7\cdot\left(s\cdot t\right)$

1.

Associative Property

b)

If $\left(r+s\right)t=rt+st$ , then $rt+st=\left(r+s\right)t$

2.

Commutative Property

c)

$\left(3\cdot\frac{1}{3}\right)\cdot7=\left(3\cdot\frac{1}{3}\right)\cdot7$

3.

Reflexive Property

d)

$\left(6-2\right)a-3b=4a-3b$

4.

Substitution Property

e)

$If\ 5\left(3\right)+7=15+7\ and\ 15+7=22,\ then\ 5\left(3\right)+7=22$

5.

Transitive Property

14.

Solve:

$5t-3=-2t+10$

t = _

15.

Solve:

$2x-7-\left(x-5\right)=0$

x = _

16.

Solve:

$5m-\left(5+4m\right)=\left(3+m\right)-8$

m = _

17.

Solve:

$\left|8w+2\right|+2=0$

(a)

18.

Solve: $2\left|2y-6\right|+4=8$ Solution set: { (a) , (b) }

Choose from the below words

4

2

1

3

5

6

7

8

9

0

19.

What is the value of x?

a)

1

b)

2

c)

3

d)

4

20.

On a college math test, 18 students earned an A. This number is exactly 30% of the total number of student in the class. How many students are in the class?

a)

2

b)

23

c)

48

d)

60

21.

A student computed the average of her 7 test scores by adding the scores together and dividing this total by the number of tests. The average was 87. On her next test, she scored a 79. What is her new test average?

a)

83

b)

84

c)

85

d)

86

22.

If the perimeter of △PQR is 3 times the length of PQ, then PR = __

a)

4

b)

6

c)

7

d)

8

23.

If a different number is selected from each of the three sets shown below, what is the greatest sum these 3 numbers could have?

R = {3, 6, 7}; S = {2, 4, 7}; T = {1, 3, 7}

a)

13

b)

14

c)

17

d)

21

24.

Solve:

$4\left(t-5\right)\ge5-t$

25.

Solve:

$3x+5\le-10\ or\ 12-x<20$

Advanced Algebra Chapter 1 Review

Total questions: 25

Worksheet time: 41mins

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