Free Printable Algebra Chapter Three Review

1.

#1. Determine whether the following equation is linear. If so, write the equation in standard form.

4x = 3y – 11

a)

Yes, it is linear. 4x - 3y = -11

b)

Yes, it is linear. 4x + 3y = -11

c)

Yes, it is linear. 4x - 3y = 11

d)

No. It is not linear.

2.

#2. Determine whether the following equation is linear. If so, write the equation in standard form.

6xy = 4y + 5

a)

Yes, it is linear. 6xy - 4y = 5

b)

Yes, it is linear. 6xy + 4y = 5

c)

Yes, it is linear. 6xy - 4y = -5

d)

No. It is not linear.

3.

#3. Which graph represents the equation:

y = 3x - 2

a)

b)

4.

#4. Which graph represents the equation:

y=-\frac{3}{4}x+2

a)

b)

5.

#5. Which graph represents the equation:

y = 1

a)

b)

6.

#6. Find the slope, if it exists, of the line containing these points.

(-4,5) and (2,-4)

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$\frac{9}{2}$

d)

$-\frac{9}{2}$

7.

#7. Find the slope, if it exists, of the line containing these points.

(-7,1) and (-7,-5)

a)

0

b)

undefined

c)

$\frac{2}{7}$

d)

$-\frac{2}{7}$

8.

#8. Use the table to find the rate of change. Then explain its meaning.

a)

50 hours per mile. Every mile the time increases 50 hours.

b)

25 miles per hour. Every hour the driving distance increases 25 miles.

c)

50 miles per hour. Every hour the driving distance increases 50 miles.

d)

25 hours per mile. Every mile the time increases 25 hours.

9.

Determine whether this function is linear. Explain.

a)

It is linear. The rate of change is

-\frac{1}{2}

b)

It is not linear. The rate of change is not constant.

10.

#10. In 1970, the median age of women who married for the first time was 20.8 years old. In 1998, the median age was 25. Find the rate of change using (year,age) for these data points.

a)

The median age increased by 6.7years older per year.

b)

The median age decreased by 0.15 years older per year.

c)

The median age increased by 0.15 years older per year.

11.

#1 (third page): Determine whether this sequence is an arithmetic sequence. Write yes or no. Explain.

-40, -32, -24, -16, ...

a)

Yes. The common difference is -8.

b)

Yes. The common difference is 16.

c)

Yes. The common difference is 8.

d)

No. There is not a common difference.

12.

#2 (third page): Find the next three terms of the arithmetic sequence.

-12, -16, -20, -24, -28, ...

a)

-30, -32, -34

b)

-34, -40, -46

c)

-32, -36, -40

13.

#3 (third page): BANKING Olivia deposited $125.00 in a savings account. Each week thereafter, she deposits $40.00 into the account.

Write a function to represent the total amount Olivia has deposited for any particular number of weeks after her initial deposit. Then find how much Olivia has deposited 50 weeks after opening the account.

a)

$a_n=40n+165$ ; $2,165

b)

$a_n=40n\ +\ 85$ ; $2085

14.

#4 (third page): Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.

If y = -6 when x = 9, find x when y = -3.

a)

$y\ =\ -\frac{2}{3}x$ ; $x\ =\ 2$

b)

$y\ =\ -\frac{2}{3}x$ ; $x\ =\ \frac{9}{2}$

c)

$y\ =\ -\frac{3}{2}x$ ; $x\ =\ 2$

d)

$y\ =\ -\frac{3}{2}x$ ; $x\ =\ \frac{9}{2}$

15.

#5 (third page): PRODUCE The cost of apples varies directly with their weight. Nancy bought 2 ½ pounds of apples for $4.95. Write an equation that relates the cost of the apples to their weight. Then find the cost of

4\ \frac{1}{4}

pounds of apples.

a)

y = 1.98x; $8.42

b)

y = 1.98x; 8.42 pounds of apples

c)

y = 0.51; $2.15

d)

y = 0.51; 2.15 pounds of apples

16.

SR#1 Which of the following relations is a function?

a)

(0,4), (-1,6), (0,3), (-7,2)

b)

(5,1), (-1,4), (0,1), (5,2)

c)

(0,4), (-1,2), (5,1), (-7,2)

d)

(0,0), (-1,3), (5,1), (-1,5)

17.

SR#2: Every year the county fair holds a grape-eating contest. The numbers of grapes eaten by thirteen contestants in 30 seconds are listed below.

66, 51, 87, 95, 92, 72, 78, 81, 54, 45, 60, 66, 87

What is the interquartile range of the set of data?

a)

50

b)

27

c)

33

d)

30

18.

$4\ \left|4-5n\right|+\left|7\right|$

Evaluate the expression when n = 2.

a)

-31

b)

17

c)

-17

d)

31

19.

$8\ \frac{2}{9},\ \frac{41}{5},\sqrt{76},\ 8.1$

SR#4: Order the numbers from least to greatest.

a)

$\sqrt{76},\ \frac{41}{5},\ 8.1,\ 8\ \frac{2}{9}$

b)

$\frac{41}{5},\ \sqrt{76},\ 8.1,\ 8\ \frac{2}{9}$

c)

$8.1,\ \frac{41}{5},\ 8\ \frac{2}{9},\ \sqrt{76}$

d)

$\frac{41}{5},\ 8.1,\ 8\ \frac{2}{9},\ \sqrt{76}$

20.

SR#5: Solve for x.

12(2x - 3) = 132x

a)

$-\frac{1}{3}$

b)

4

c)

$\frac{1}{3}$

d)

7

Algebra Chapter Three Review

Total questions: 20

Worksheet time: 20mins

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