Free Printable Mrs. A's Algebra Chapter 1 Review

1.

Translate: Five less than a number

a)

5 - n

b)

n - 5

c)

n + 5

d)

5 - n

2.

Translate: Four times a number increased by 7

a)

4 (n + 7)

b)

7 + 4/n

c)

4n + 7

d)

7 (n +4)

3.

Which is a word phrase for: $\frac{n}{5}+\ 7$

a)

7 added to the quotient of n and 5

b)

7 added to the quotient of 5 and n

c)

7 added to the product of n and 5

d)

the sum of 5 divided by n and 7

4.

$20-3^2+7\cdot4$

a)

84

b)

42

c)

72

d)

39

5.

$\frac{1}{3}\left(15x-9\right)=$

a)

$5x+3$

b)

$3x-3$

c)

$5x-3$

d)

$45x-27$

6.

$-4x+12+2x-10$

a)

$-2x+2$

b)

$2x+2$

c)

$-2x-2$

d)

$2x-2$

7.

$21\div\left(-\frac{3}{5}\right)$

a)

$\frac{1}{35}$

b)

$35$

c)

$-35$

d)

$-\frac{1}{35}$

8.

$-\left(5x-12z+13\right)$

a)

$-5x+12z-13$

b)

$5x+12z-13$

c)

$-5x-12z-13$

d)

$-30xz$

9.

$\sqrt{\frac{4}{36}}$

a)

3

b)

$\sqrt{9}$

c)

$\frac{2}{6}$

d)

$\frac{1}{3}$

10.

Evaluate given x= 3 and y=2
$x+\left(18\div x\cdot5\right)-y^3$

a)

25

b)

33

c)

27

d)

15

11.

Identify the property demonstrated:
$3\left(x+7\right)=3\cdot x+3\cdot7$

a)

Communicative Property

b)

Associative Property

c)

Identity Property

d)

Distributive Property

12.

Identify the property demonstrated:
$\left(1+2\right)+3=1+\left(2+3\right)$

a)

Commutative Property

b)

Associative Property

c)

Zero Property of Addition

d)

Distributive Property

13.

Identify the property demonstrated:
$8\cdot0=0$

a)

Commutative Property

b)

Associative Property

c)

Zero Product Property

d)

Identify Property Of Multiplication

14.

Identify the property demonstrated:
$3\cdot2\cdot7=7\cdot3\cdot2$

a)

Commutative Property

b)

Associative Property

c)

Identity Property

d)

Distributive Property

15.

Name the subsets of real numbers that the number belongs to:

1

a)

Rational, Integer, Whole, Natural

b)

Rational

c)

Irrational

d)

Natural

16.

Name the subsets of real numbers that the number belongs to:

$.75$

a)

Rational, Integer, Whole, Natural

b)

Rational

c)

Irrational

d)

Rational, Integer

17.

Name the subsets of real numbers that the number belongs to:

$\sqrt{13}$

a)

Rational, Integer, Whole, Natural

b)

Rational

c)

Irrational

d)

Rational, Integer

18.

Put the following numbers in order from least to greatest:

$\sqrt{15,}\ \ 3.75,\ -\frac{15}{3},\ \pi$

a)

$\sqrt{15},\ -\frac{15}{3},\ \pi,\ 3.75$

b)

$-\frac{15}{3},\ 3.75,\ \pi,\ \sqrt{15}$

c)

$-\frac{15}{3},\ \pi,\ 3.75,\ \sqrt{15}$

d)

$\pi,\ -\frac{15}{3},\ 3.75,\ \sqrt{15}$

19.

Estimate to the nearest integer:
$\sqrt{29}$

a)

4

b)

5

c)

6

d)

no solution

20.

Estimate to the nearest integer:
$\sqrt{77}$

a)

7

b)

8

c)

9

d)

no solution

21.

Find the root:
$\pm\sqrt{49}$

a)

+7

b)

-7

c)

$\pm7$

d)

no solution

22.

Identify the polynomial written correctly in standard form:

a)

$2x+3x^2-8+10x^3$

b)

$-8+2x+3x^2+10x^3$

c)

$-8+10x^3+3x^2+2x$

d)

$10x^3+3x^2+2x-8$

23.

Standard form is when the polynomial is in:

a)

descending order based on the degree of terms

b)

ascending order based on the degree of terms

c)

alphabetical order based on terms

d)

written without variables

24.

Simplify and answer in standard form:
$\left(5x^2-8x+12\right)+\left(-3+11x-14x^2\right)$

a)

$-9x^2+3x+9$

b)

$9+3x-9x^2$

c)

$19x^2-19x+15$

d)

$15-19x+19x^2$

25.

When adding polynomials you...

a)

Add the opposite

b)

Add the coefficients of the like terms

c)

Add the coefficients and exponents of the like terms

d)

none of the above

26.

When subtracting polynomials you...

a)

Add the opposite

b)

Add the coefficients of the like terms

c)

Add the coefficients and exponents of the like terms

d)

none of the above

27.

Simplify and write in standard form:
$\left(-3x^2+8x-10\right)-\left(5+13x-4x^2\right)$

a)

$-15-5x-7x^2$

b)

$-7x^2-5x-15$

c)

$-15-5x+x^2$

d)

$x^2-5x-15$

Mrs. A's Algebra Chapter 1 Review

Total questions: 27

Worksheet time: 22mins

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