Free Printable Unit 1 Review CR

1.

Name the polynomial by its degree.

a)

cubic binomial

b)

quartic binomial

c)

quadratic binomial

d)

quadratic monomial

2.

Name the polynomial by its degree.

a)

quadratic trinomial

b)

quartic trinomial

c)

quadratic binomial

d)

quintic trinomial

3.

Name the polynomial by its degree.

a)

quintic binomial

b)

quadratic binomial

c)

cubic binomial

d)

quartic binomial

4.

Name the polynomial by its term.

a)

quadratic polynomial with four terms

b)

quartic trinomial

c)

9th degree polynomial with four terms

d)

quartic polynomial with four terms

5.

Name the polynomial by its term.

a)

constant monomial

b)

linear monomial

c)

quartic monomial

d)

4th degree monomial

6.

Name the polynomial by its term.

a)

quartic trinomial

b)

quadratic trinomial

c)

4th degree trinomial

d)

6th degree trinomial

7.

What is the name for this polynomial? 2x² + 3x - 1

a)

Quadratic Trinomial

b)

Linear Binomial

c)

Quartic Trinomial

d)

Quintic Trinomial

8.

What is the name of this polynomial? 3

a)

Constant Monomial

b)

Linear Monomial

c)

Quartic Monomial

d)

Cubic Monomial

9.

What is the name of this polynomial? 6a⁴ + 7a³ + 8

a)

Linear Trinomial

b)

4th Degree Binomial

c)

2nd Degree Trinomial

d)

Quartic Trinomial

10.

What is the name of this polynomial? 3x⁵ + 2

a)

Quintic Binomial

b)

5th Degree Monomial

c)

5th Degree Trinomial

d)

Quintic Polynomial with Four Terms

11.

What is the name of this polynomial? 4x³ - 2x² + 7x - 3

a)

Septic Polynomial with Four Terms

b)

Quadratic Polynomial with Four Terms

c)

Quintic Polynomial with Four Terms

d)

Cubic Polynomial with Four Terms

12.

Simplify: $3\left(2x-10\right)$

a)

$5x-13$

b)

$6x-10$

c)

$5x-30$

d)

$6x-30$

13.

Simplify: $\left(x-5\right)\left(x+3\right)$

a)

$x^2-15$

b)

$2x-15$

c)

$x^{2\ }-2x-15$

d)

$x^{2\ }+2x-15$

14.

Simplify: $\left(2x-1\right)\left(2x-2\right)$

a)

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

b)

$4x^{2\ }-3x+2$

c)

$4x^{2\ }+2$

d)

$x^4-6x+2$

15.

Simplify: $\left(x+4\right)+\left(3x+10\right)$

a)

$3x+14$

b)

$3x^{2\ }+14$

c)

$4x+14$

16.

Simplify: $\left(x^2+2x+3\right)+\left(x^{2\ }-3x-5\right)$

a)

$2x^2-x-2$

b)

$2x^2-x+2$

c)

$x^4-x^2-2$

d)

$2x^2-3x+2$

17.

Simplify: $\left(3x-2\right)-\left(x-1\right)$

a)

$4x-3$

b)

$4x-1$

c)

$2x-1$

d)

$2x+1$

18.

Simplify: $\left(5x^2-5x-5\right)-\left(x^2+x+2\right)$

a)

$4x^2-4x-3$

b)

$4x^2-6x-7$

c)

$5x^2-4x-7$

d)

$4x-3$

19.

Simplify: $3\left(x+1\right)-5\left(x+2\right)$

a)

$2x-7$

b)

$2x-4$

c)

$-2x+3$

d)

$-2x-7$

20.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

21.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

22.

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

23.

(4x + 7)(3x + 5)

a)

12x + 41 + 35

b)

12x² + 20x + 35

c)

12x² + 41x + 35

d)

12x + 20 + 35

24.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

25.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

26.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

27.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

28.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

29.

a)

3xy²+5y-2

b)

3xy²+5y+2

c)

3xy+5y-2

d)

3xy+5y+2

30.

x⁵ * x⁴

a)

x⁹

b)

x²⁰

c)

2x⁹

d)

9x

31.

3x⁴ * 6x⁶

a)

18x¹⁰

b)

9x¹⁰

c)

18x²⁴

d)

9x²⁴

32.

2x³y⁵ * 5xy²

a)

10x⁴y⁷

b)

7x⁴y⁷

c)

10x³y¹⁰

d)

7x³y¹⁰

33.

(3xy)²

a)

9x²y²

b)

6x²y²

c)

3xy²

d)

3x²y²

34.

(12x³y)²

a)

144x⁶y²

b)

24x⁶y²

c)

144x⁵y³

d)

24x⁵y³

35.

a)

x⁴y⁴

b)

x⁸y⁴

c)

x⁻⁴y¹²

d)

x⁸y¹²

36.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

37.

(x⁸)(x⁻⁵)

a)

x⁻⁴⁰

b)

x⁻¹³

c)

x¹³

d)

x³

38.

Simplify the expression.

(xy)⁷

a)

x⁷y⁷

b)

xy⁷

c)

xy¹⁴

d)

x⁷/ y⁷

39.

a)

3x⁻¹y⁻⁵

b)

3x²y

c)

3xy⁵

d)

−3x³y⁷

40.

a)

x¹¹

b)

x¹⁸

c)

x⁻⁷

d)

x⁷

41.

a)

3x⁻¹y⁻⁵

b)

3x²y

c)

3xy⁵

d)

−3x³y⁷

42.

a)

−30x¹¹

b)

−30x¹⁸

c)

−x¹¹

d)

−x¹⁸

43.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

44.

Simplify.

a)

(2x^-18) / y⁴

b)

(2x³) / y

c)

y¹² / (8x¹⁸)

d)

none of these

45.

Simplify.

a)

b)

c)

d)

46.

$\left(\frac{xy^4}{2x^2y^2}\right)^4$

Simplify

a)

$\frac{y^8}{8x^4}$

b)

$\frac{y^8}{16x^4}$

c)

$\frac{y^2}{16x^4}$

d)

$\frac{y^2}{8x^4}$

47.

$\frac{\left(2x^4y^4\right)\left(2x^3y\right)}{3y^2}$

Simplify

a)

$\frac{4x^7y^3}{3}$

b)

$\frac{4x^7}{3y^3}$

c)

$12x^7y^3$

d)

$4x^{12}y^2$

48.

$\frac{\left(2x^5y^5\right)^5}{x^5}$

Simplify

a)

$2x^{20}y^{25}$

b)

$2x^5y^{25}$

c)

$32x^{20}y^{25}$

d)

$32x^5y^{25}$

49.

$-3\ \sqrt[]{25}$

a)

-15

b)

$-10\ \sqrt[]{13.5}$

c)

-75

d)

-5

50.

$\sqrt[]{200}$

a)

$2\ \sqrt[]{10}$

b)

$100\ \sqrt[]{2}$

c)

$10\ \sqrt[]{2}$

d)

$2\ \sqrt[]{25}$

51.

a)

II only

b)

II and III

c)

I and III

d)

All of These

52.

$\sqrt{45}$ =

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

53.

a)

A

b)

B

c)

C

d)

D

54.

$2\ \sqrt{40}$

a)

$2\sqrt{10}$

b)

$10\sqrt{4}$

c)

$4\sqrt{10}$

d)

$10\sqrt{2}$

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

$\sqrt{50x^4}$

a)

$5x^2\sqrt{2}$

b)

$\sqrt{5x}$

c)

$2x^4\sqrt{5}$

d)

$25x\sqrt{2}$

58.

$3x\ \sqrt[]{50x^2y}$

a)

$175x^3y$

b)

$15\ \sqrt[]{2x^3y}$

c)

$15x^3y\ \sqrt[]{2}$

d)

$15x^2\ \sqrt[]{2y}$

59.

$9\ \sqrt[]{21}-\ 3\ \sqrt[]{21}$

a)

$12\ \sqrt[\ ]{21}$

b)

$6\ \sqrt[]{21}$

c)

$27\sqrt[]{21}$

60.

$18\ \sqrt[]{5w}-\ 15\ \sqrt[]{5w}$

a)

$13\ \sqrt[]{5w}$

b)

$33\ \sqrt[]{5w}$

c)

$3\ \sqrt[]{5w}$

61.

$10\ \sqrt[]{11}\ +\ 4\ \sqrt[]{11}$

a)

$6\ \sqrt[]{11}$

b)

$40\ \sqrt[]{11}$

c)

$14\ \sqrt[]{11}$

62.

$3\ \sqrt[]{6}-4\ \sqrt[]{6}$

a)

$-\ \sqrt[]{6}$

b)

$-12\ \sqrt[]{6}$

c)

$7\ \sqrt[]{6}$

63.

$-3\ \sqrt[]{7}\ +\ 4\ \sqrt[]{7}$

a)

$-\ \sqrt[]{7}$

b)

$\sqrt[]{7}$

c)

$-12\ \sqrt[]{7}$

64.

$-3\ \sqrt[]{17}\ -\ 4\ \sqrt[]{17}$

a)

$\sqrt[]{17}$

b)

$-7\ \sqrt[]{17}$

c)

$12\ \sqrt[]{17}$

65.

$\sqrt[]{3}\ \left(\sqrt[]{6}-\ \sqrt[]{15}\right)$

a)

$3\ \sqrt[]{2}\ -\ 3\ \sqrt[]{5}$

b)

$\sqrt[]{18\ }-\ \sqrt[]{45}$

c)

$3\ \sqrt[]{6}\ -\ 3\ \sqrt[]{15}$

66.

$3\ \sqrt[]{12}\ \cdot\ \sqrt[]{6}$

a)

$3\ \sqrt[]{72}$

b)

$9\ \sqrt[]{8}$

c)

$18\ \sqrt[]{2}$

67.

$\sqrt[]{6}\cdot\ \sqrt[]{6}$

a)

$\sqrt[]{36}$

b)

$\sqrt[]{6}$

c)

$2\ \sqrt[]{6}$

d)

6

68.

$\sqrt[]{5}\ \ \cdot\ \left(-\ 4\ \sqrt[]{20}\right)$

a)

-40

b)

$-5\ \sqrt[]{100}$

c)

$-4\ \sqrt[]{100}$

d)

$-3\ \sqrt[]{100}$

69.

$-4\ \sqrt[]{15}\ \cdot\ -\ \sqrt[]{3}$

a)

$4\ \sqrt[]{45}$

b)

$12\ \sqrt[]{5}$

c)

$-5\ \sqrt[]{45}$

70.

$\sqrt[]{15n^2}\ \cdot\ \sqrt[]{10n^3}$

a)

$\sqrt[]{150n^5}$

b)

$5n^5$

c)

$\sqrt[]{5n}$

d)

$5n^2\ \sqrt[]{6n}$

71.

$\sqrt[]{3}\left(5\ +\ \sqrt[]{3}\right)$

a)

$5\ \sqrt[\ ]{3}+\ \sqrt[]{9}$

b)

$5\ \sqrt[]{3\ }+\ 3$

c)

$5\ \sqrt[]{3}+\ \sqrt[]{3}$

d)

$6\ \sqrt[]{3}$

72.

$2\ \sqrt[]{5}\ \left(\sqrt[]{6\ }+\ 2\right)$

a)

$2\ \sqrt[]{30}\ +4\ \sqrt[]{5}$

b)

$6\ \sqrt[]{35}$

c)

$4$

d)

$2\ \sqrt[]{30}\ +\ 2\ \sqrt[]{10}$

73.

$-3\ \sqrt[]{3\ }\ \left(2\ +\ \sqrt[]{6}\right)$

a)

$-6\ \sqrt[]{3}+\ \left(-3\ \right)\sqrt[]{6}$

b)

$-6\ \sqrt[]{3}\ +\left(-3\ \sqrt[]{18}\right)$

c)

$-6\ \sqrt[]{3}\ -\ 9\ \sqrt[]{2}$

74.

$-2\ \sqrt[]{15}\ \left(-3\ \sqrt[]{3}\ +\ 3\ \sqrt[]{5}\right)$

a)

$6\ \sqrt[]{45}\ -6\ \sqrt[]{75}$

b)

$18\ \sqrt[]{5}\ -\ 30\ \sqrt[]{3}$

c)

$18\ \sqrt[]{5}\ -6\ \sqrt[]{3}$

75.

Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz

a)

Oreos

b)

Chips Ahoy

76.

A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?

a)

Slower rate

b)

Faster rate

c)

He didn't grade them

d)

Everyone got 100

77.

Americans drink 5,604,000 gallons of sweet tea each day. How many liters is that? (1 gal = 3.79 L)

a)

21,200,000 L

b)

21,239,160 L

c)

21,207,190.2 L

d)

21,000,000 L

78.

The Olympic record for the high jump is just over 2.6 yards. What is that distance in feet? (3 ft = 1 yd)

a)

0.867 ft

b)

7.8 ft

c)

8.07 ft

d)

8.27 ft

79.

Convert 62 miles/hour to feet/second. (5,280 ft = 1 mi)

a)

5,456 ft/s

b)

.003 ft/s

c)

91 ft/s

d)

909 ft/s

80.

Convert 20 tons/year to ounces/day

a)

.0004 ounces/day

b)

6.8 ounces/day

c)

109.6 ounces/day

d)

1,753.42 ounces/day

81.

Convert 70,000 quarts/year to pints/day

a)

383.6 pints/day

b)

767.1 pints/day

c)

1,534.2 pints/day

d)

191.8 pints/day

82.

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

a)

604

b)

777

c)

29

d)

198

83.

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

a)

25,082

b)

12,937

c)

62,000

d)

43,511

84.

A publishing industry report predicts that magazine subscriptions will drop by 10% each year. If this prediction is correct, then how many subscribers will a magazine with 98,000 subscribers have in 10 years? (Round to the nearest whole number if necessary).

a)

34,170

b)

16,348

c)

7690

d)

76,023

85.

Jenny has $20 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?

a)

$2.05

b)

$45.79

c)

$1.99

d)

$7.51

86.

Lauren has $90 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will she have in 2 years?

a)

$99.23

b)

$21.98

c)

$56.46

d)

$9.21

87.

A cliff overlooking Oak Grove Lake is experiencing erosion, losing elevation at a rate of 5% every millennium. The cliff's current elevation is 1,200 meters. What will its elevation be in 6 millennia? (Round to the nearest whole number if necessary).

a)

882

b)

465

c)

349

d)

975

88.

Kelsey deposited $30 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years?

a)

$9.93

b)

$2.01

c)

$17.60

d)

$5.75

89.

Thanks to its environmental initiatives, Silvergrove has cut its annual CO2 emissions by 5%. This year, the town produced 290,000 metric tons of emissions. If the downward trend continues, how much CO2 will be produced 7 years from now? (Round to the nearest whole number if necessary).

a)

202,518

b)

135,792

c)

78,376

d)

20,658

90.

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

a)

12,800

b)

15,777

c)

102, 475

d)

2,500

91.

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years? (Round to the nearest cent.)

a)

$456.01

b)

$556.98

c)

$778.22

d)

$332.63

92.

What is the Half life of this isotope?

a)

5 seconds

b)

10 seconds

c)

15 seconds

d)

20 seconds

93.

If 10 mg of iodine 131 is given to a patient, how much is left after 24 days? The half-life of iodine-131 is 8 days.

a)

1.25mg

b)

1.25g

c)

10g

d)

10mg

94.

The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0 g?

a)

3.0g

b)

0.25mg

c)

0.3g

d)

0.25g

Unit 1 Review CR

Total questions: 94

Worksheet time: 2hrs 34mins

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