Free Printable Algebra 1 Exponents, like terms

1.

$2z\left(6z-7\right)$

a)

$12z-14$

b)

$12z^2-14$

c)

$12z^2-14z$

d)

$12z^2-7$

2.

$\left(x^3+4x\right)\left(x^2\right)$

a)

$x^6-4x^2$

b)

$x^5-4x^3$

c)

$x+4x^5$

d)

$x^{5\ }+4x^3$

3.

$3x\left(2x^2-5x^3\right)$

a)

$x^3$

b)

$6x^2-15x^3$

c)

$6x^3-15x$

d)

$6x^3-15x^4$

4.

$-5x\left(-3x^4+4x^2\right)$

a)

$15x^5-20x^3$

b)

$-8x^4-9x^2$

c)

$15x^4+20x^2$

d)

$15x^5-4x^2$

5.

$\left(2x^5+4x\right)\left(3x^2\right)$

a)

$2x^7+4x^3$

b)

$6x^7+4x$

c)

$6x^{10\ }+\ 4x^2$

d)

$6x^7+12x^3$

6.

$7c\left(3c^2-5\right)$

a)

$7c^2-35c$

b)

$21c^3-5$

c)

$21c^3-35c$

d)

$21c^2-35$

7.

$\left(-5b+7b^2\right)\left(-2b^3\right)$

a)

$10b^4-14b^5$

b)

$7b^3+5b$

c)

$-10b^3+\ -14b^2$

d)

$10b^3-7b^4$

8.

$9x-4x^2-7x^3+8x^2+9x^3-3x$

a)

$12x^5$

b)

$12x^2-16x^3+6x$

c)

$2x^3+4x^2+6x$

9.

$6r^2+9r^3+7r+3r^3$

a)

$25r^{12}$

b)

$27r^3+6r^2+7r$

c)

$12r^3+6r^2+7r$

10.

$3x^2\left(2x+3\right)+4x^2$

a)

$10x^2+3x$

b)

$12x^4+2x+3$

c)

$6x^3+13x^2$

11.

$4y^3+2y\left(y^2-7y\right)$

a)

$6y^2-14y$

b)

$6y^3-14y^2$

c)

$6y^8-42y^4$

12.

$3x\left(2x-7\right)-4x^2$

a)

$10x^2-21x$

b)

$-12x^3-2x+7$

c)

$2x^2-21x$

13.

$6a^3+2a\left(4a^2-3a\right)$

a)

$14a^2-6a$

b)

$8a^3-6a^2$

c)

$14a^3-6a^2$

14.

$9a^7+2a^3\left(a^4-3a\right)$

a)

$11a^7-6a^4$

b)

$18a^{14}-33a$

c)

$9a^7+2a^3+a^4-3a$

15.

$3y^3\left(2y^2-4y\right)+16y^4$

a)

$6y^4-4y^3$

b)

$6y^4+4y^3$

c)

$6y^5+4y^4$

d)

$6y^5-4y^4$

16.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

-13f

c)

43f - 56

d)

40f -7 + 3f

17.

Simplify the expression: 7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

18.

Simplify:
3x - (x - 6) - 12

a)

2x - 6

b)

4x - 18

c)

2x + 6

d)

4x - 6

19.

Like terms have the same ___________ and the same _____________.

a)

Variables

b)

Coefficients

c)

Exponents

d)

Constants

e)

Numbers

20.

Are 5x and 5y like terms?

a)

Yes, they both have a 5

b)

Yes, they both have a variable

c)

No, they do not have the same variables

21.

Are 3x² and -5x² like terms?

a)

Yes, they both have letters

b)

Yes, they have the same variable and same exponent

c)

No, one is negative and one is positive

d)

No, the exponents are different.

22.

Combine like terms:

5x²- 2x + 4 + 3x + 2x² + 8

a)

7x²+ x + 12

b)

7x⁴+ 5x + 12

c)

3x²+ 7x + 10

d)

20x⁶

23.

Select all of the terms that are like terms with 4x³

a)

4x

b)

x³

c)

-2x³

d)

4x⁵

e)

-4

24.

Are 3x⁴ and 6x³like terms?

a)

Yes, they both have an x

b)

Yes, they are both positive

c)

No, they have different exponents

d)

No, the coefficients are different

25.

Simplify by combining like terms:

3y^2-5x+2y-6x+8y^2+9y

a)

$11y^2-11x+11y$

b)

$-2xy^2-4xy+17y^3$

c)

$11y^4-11x^2+11y^2$

d)

$22y^6-11x$

26.

(-3x⁴)³

a)

-9x⁷

b)

-27x¹²

c)

27x¹²

d)

-9x¹²

27.

m ⋅ m⁵⋅ m⁶

a)

m³⁰

b)

m¹²

c)

12m

d)

mm¹¹

28.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

29.

What is 44% of 150?

(a)

30.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

31.

6a - 2(3a + 4)

a)

-8

b)

12a + 4

c)

12a - 4

d)

a - 8

32.

Simplify:
4(8x + 1) - 6(1 - 8x)

a)

-80x - 2

b)

80x + 2

c)

-80x + 2

d)

80x - 2

33.

Simplify:
-n -5(-6-7n)

a)

34n + 30

b)

35n - 30

c)

35n + 30

d)

-6n - 30

34.

$-5y-7+6+13y$

a)

$-18y-13$

b)

$8y-1$

c)

$-8y-1$

d)

$8y+1$

35.

$-5(-2x+3)-6(3x-1)$

(a)

36.

–4d⁸ – 3 + 5d⁴– 8d⁸ + 7

a)

4 + 5d⁴ - 12d⁸

b)

4 + 5d⁴- 4d⁸

c)

4 - 5d⁴ - 12d⁸

37.

Simplify -7v + 7v⁴w³ + 12v - 2v⁴w³ - v⁴ by combining like terms

a)

-v⁴ + 5v + 5v⁴w³

b)

5v⁴ + 6v - 2v⁴w³

c)

6v⁴ - 9v + 12v⁴w³

d)

-10v⁴ + 12v + 7v⁴w³

38.

Simplify 3ep + 9ep³ - 12ep - 11ep³ + 5ep - 11ep by combining like terms

a)

-15ep - 2ep³

b)

-8ep - 9ep

c)

-12ep - 5ep

d)

9ep - 26ep

39.

Simplify 11eg³ - 6g³ + 6eg⁴ + 9eg⁴ + 9eg⁴ - eg⁴ by combining like terms

a)

11eg³ - 6g³ + 23eg⁴

b)

20g³ + 8eg⁴

c)

6g³ + 22eg⁴

d)

-6g³ + 34eg⁴

40.

Simplify 10t²g⁴ - t⁴g³ - 6tg² + 4t⁴g³ - 10t²g⁴ - 5tg² by combining like terms

a)

3t⁴g³ - 11tg²

b)

10t²g⁴ - 2t⁴g³ - 16tg²

c)

-12t⁴g³ + 4tg²

d)

-5t²g⁴ - t⁴g³ - 2tg²

41.

Simplify - 8z⁴p + 6z³p² - 8zp³ + 3z³p² - 3zp³ by combining like terms

a)

-11zp³ - 8z⁴p + 9z³p²

b)

-2zp³ - 5z⁴p -3z³p²

c)

-2zp³ - 8z⁴p

d)

-8zp³ + 3z⁴p - 5z³p²

42.

Simplify: $ab^2c\ \cdot\left(xbc^3\right)$

a)

$ab^2c^2x$

b)

$ab^3c^2x$

c)

$ab^2xc^3$

d)

$ab^3c^3x$

43.

Simplify: $3x^2y\ +\ 10x^2y\ +4y$

a)

$13x^2y\ +\ 4y$

b)

$30x^4y^2\ +\ 4y$

c)

$17x^2y^2$

d)

$13x^2y^3\ +4$

44.

$\frac{5xr^2}{2}\cdot\frac{4yst^3}{x}$

a)

$10r^2yst^3$

b)

$20xr^2yst^3$

c)

$\frac{9xr^2yst}{2x}$

d)

$\frac{9r^2st^3}{x}$

45.

$5ab^2c-\left(10a^2+3ab^2c\right)+4$

a)

$2ab^2-10a^2+4$

b)

$8ab^2c-10a^2-4$

c)

$10a^2+8ab^2c+4$

d)

$15ab^2c+4+10a^2$

46.

$4ab^2+10xy-7ab^2-15xy+y^2$

a)

$-3ab^2-5xy+y^2$

b)

$11ab^2+15xy+y^2$

c)

$-3ab^2+15xy+y^2$

d)

$11ab^2-5xy+y^2$

47.

$3\left(x^2y+7\right)+10x^2y$

a)

$13x^2y+21$

b)

$13x^2y+7$

c)

$11x^2y+10$

d)

$11x^2y+21$

48.

$7a^2\cdot10ab$

a)

$70a^3b$

b)

$17ab^2$

c)

$70ab$

d)

$70a^2b$

49.

$\frac{1}{2}xy+7xy-\frac{5}{2}xy$

a)

$\frac{6}{2}xy+7xy$

b)

$10xy$

c)

$5xy$

d)

$\frac{12}{2}xy$

50.

Simplify the algebraic expression by combining like terms. Make sure to write the answer without spaces.

$2e^2f-6ef^2+8e^2f-5ef+4ef^2-4ef=$

a)

$10e^2f-9ef-2ef^2$

b)

$10e^2f+2ef^2-9ef$

c)

$10e^2f-9ef-ef^2$

d)

$10e^2f-2ef^2+9ef$

51.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

52.

What is the value of $5^0$ according to the zero exponent rule?

a)

0

b)

1

c)

5

d)

Undefined

53.

$10^2$ Identify the base

a)

10

b)

2

54.

$10^2$ Identify the exponent

a)

10

b)

2

55.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

56.

Simplify (c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

57.

a)

2a⁴b⁴

b)

4a³b⁴

c)

4a⁸b⁵

d)

2a⁴b³

58.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

59.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

60.

(2³)⁵

a)

2⁷

b)

2¹⁵

c)

6⁵

d)

10³

61.

a)

1¹⁰

b)

1²⁶

c)

z¹⁰

d)

z²⁶

62.

$\frac{d^5}{d^{10}}$ Simplify the expression:

a)

$d^{15}$

b)

$\frac{1}{d^5}$

c)

$d^5$

Algebra 1 Exponents, like terms

Total questions: 62

Worksheet time: 3hrs 42mins

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