Free Printable Unit 1 Review

1.

Find the perimeter and area of the rectangle. Identify the answers as rational or irrational. The width of the rectangle is $2\sqrt{3}$ and the length is $4\sqrt{3}$ .

a)

Perimeter is $6\sqrt{3}$ and irrational and Area is $8\sqrt{3}$ and is irrational.

b)

Perimeter is $12\sqrt{3}$ and irrational and Area is $24$ and is rational.

c)

Perimeter is $2\sqrt{3}$ and irrational and Area is $12$ and is rational

d)

Perimeter is $12$ and rational and Area is $24$ and is rational

2.

How many numbers in the following list are irrational?

$\frac{1}{3},\ \pi,\ \sqrt{3},\ 0,\ \sqrt{36},\ \frac{22}{7},\ 5\sqrt{2}$

a)

3

b)

4

c)

7

d)

2

3.

Which sum is rational?

a)

$5\sqrt{7}+1.75$

b)

$\sqrt{4}+17$

c)

$4.2673+\pi$

d)

$12.3456+7\sqrt{89}$

4.

A rectangular prism has a length of 4 inches, a width of 1 foot, and a depth of 10 inches. What is the volume? Draw a picture if needed.

a)

$480\ in^3$

b)

$480\ in^2$

c)

$40\ in^3$

d)

$40\ in^2$

5.

Convert 309 yds to feet.

a)

95 ft

b)

927 ft

c)

103 ft

d)

92.7 ft

6.

Penguins can swim at a rate of up to 33 feet per second. Use dimensional analysis to convert the speed to mile per hour (mph).

a)

.375 mph

b)

22.5 mph

c)

2.3 mph

d)

37.5 mph

7.

Peyton is a sprinter who can run the 40 yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below:

$\frac{40\ yd}{4.5\ \sec\ }\ \ \frac{3\ ft}{1\ yd}\ \ \frac{5280\ ft}{1\ mile}\ \frac{60\ \sec}{1\ \min}\ \ \frac{60\ \min}{1\ hr}$

Which ratio is incorrectly written to convert his speed?

a)

$\frac{3\ ft}{1\ yd}\ \$

b)

$\frac{5280\ ft}{1\ mile}$

c)

$\frac{60\ \sec}{1\ \min}$

d)

$\frac{60\ \min}{1\ hr}$

8.

What is the least amount of money to have to be able to say you have $12?

a)

$12.15

b)

$11.95

c)

$11.47

d)

$11.73

9.

Recipes in many international cookbooks use metric measurements. One cookie recipe calls for 120 milliliters of sugar. How much is this in our customary units "cups"? (1000 mL = 1 L, 1 L = 4.23 cups)

a)

0.51 cups

b)

51 cups

c)

5.08 cups

d)

5.8 cups

10.

Write the expression that represents "5 less than the product of 7 and x"

a)

7x-5

b)

5-7x

c)

5-7+x

d)

7x

11.

Randy wants to pay off his new truck. The expression $17,000 - 150x represents the current amount he owes. What does each number represent?

a)

$17,000 is original price minus the number of payments of $150

b)

x represents the number of payments, $150 is the payment amount, $17,000 is the amount paid as a down payment

c)

both

d)

neither

12.

$\left(3x^2+x-5\right)+\left(x^2-12\right)$

a)

$3x^4+x-17$

b)

$4x^2+x-17$

c)

$2x^2-x+17$

d)

$4x^2+x-7$

13.

$\left(k^4+8+4k^2\right)-\left(7-2k^2+3k^3\right)$

a)

$k^4-3k^3+6k^2+1$

b)

$k^4-3k^3+2k^2+1$

c)

$k^4+3k^3-2k^2+1$

14.

Find the product (7x-5)(8x-5)

a)

$56x^2-75x+25$

b)

$15x^2-25x-25$

c)

$56x^2+75x-25$

15.

Using the polynomial $3x^2+x-5$ , name it by the numbers of terms and by degree.

a)

Quartic trinomial

b)

Quadratic trinomial

c)

Linear trinomial

d)

Quartic binomial

16.

$\left(x+6\right)^2$ Solve

a)

$x^2+12x+36$

b)

$x^2+36$

c)

$x^2+6x+36$

d)

$x^2+12x$

17.

$What\ is\ the\ sum\ of\ 5\sqrt{7}\ and\ 3\sqrt{28}?$

a)

$11\sqrt{7}$

b)

$8\sqrt{7}$

c)

$27\sqrt{2}$

d)

$6\sqrt{7}+7\sqrt{2}$

18.

Simplify $-4\sqrt{150x^3y^4}$

a)

$-20\sqrt{6xy^2}$

b)

$-20xy^2\sqrt{6}$

c)

$-20xy^2\sqrt{6x}$

d)

$-4\sqrt{6xy^2}$

19.

$Simplify\ 5\sqrt{8}\cdot3\sqrt{4}$

a)

$15\sqrt{32}$

b)

$4\sqrt{4}$

c)

$60\sqrt{2}$

d)

$15\sqrt{2}$

20.

$Simplify\ \frac{4\sqrt{3}}{\sqrt{6}}$

a)

$2\sqrt{2}$

b)

$\frac{12\sqrt{6}}{2}$

c)

$\frac{12\sqrt{2}}{6}$

d)

$4\sqrt{2}$

Unit 1 Review

Total questions: 20

Worksheet time: 5hrs 0mins

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