Free Printable Advanced Algebra Chapter 1 Review

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Advanced Algebra Chapter 1 Review

Total questions: 45

Worksheet time: 2hrs 44mins

Name

Class

Date

Evaluate f(-2) if f(x) = x+3

-1

-5

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

-2

-9

-10

Evaluate f(-2) if f(x) = x²+ 3.

-1

-7

What is the domain of the graph?

y≥1

x ≥ 1

All real numbers

none of these

What is the range of the graph?

y≥1

x≥1

All real numbers

none of these

What is the domain?

x = 2

all real numbers

y = 2

none of these

What is the proper range?

x≥0

y≥0

All real numbers

{0, 1, 2, 3, 4,...}

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

Is this a function?

Function

Not a Function

10.

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

11.

Evaluate when a = 15:
2(a - 5) + 2

12.

2x + 3 + x²; for x = 4

13.

Write an algebraic expression for:
the product of 5 and a number

5 + n

n + 5

5/n

14.

Write an algebraic expression for:
8 more than a number

8 + n

8 -n

n-8

15.

A website charges $0.99 to download a game and $12.49 membership fee. Write an expression that gives the total cost in dollars to download "g" games.

12.49g+0.99

0.99g+12.49

0.99+12.49

g+12.49+0.99

16.

Which phrase does NOT describe x + 6.

The sum of x and six.

six more than x.

x increased by six.

The product of x and two.

17.

(6²+ 4) ÷ 10 x 5

18.

5 x 3 + 3⁴ ÷ 9 + 1⁵

19.

Chris scored p points playing basketball. Aiden scored 8 fewer points than Chris. Which expression can you use to calculate the points Aiden scored?

8-p

p + 8

p - 8

20.

Adriana has 5 cans of soda. She needs to buy several more cases (c) of soda for a picnic. Each case has 24 cans. Which expression would show how many cans of soda Adriana has altogether?

24c + 5

24 + 5

c+ 5

24c - 5

21.

Braden got $550 at his birthday party. He's going to be paying his brother $20 per week until he pays back the money he owes him. Write an expression to determine how much money Braden will have after w weeks.

550 + 2w

20 (550 - w)

550 - 20w

550w - 20

22.

8v - 4(v + 8) = 8

-4

23.

3x + 2(4x - 4) = 3

24.

S = 3F - 24 Solve for F

F = (S + 24)/3

F = S/3 + 24

F = 3S + 24

F = 3(S + 24)

25.

8x + 4y= 16 for y

y = -8x + 16

y = 2x -4

y = -2x + 4

y = -8x + 12

26.

E = mc² solve for m

m = sqrt(E/c)

m = sqrt(E)/c

m = E/c²

m = money

27.

Solve:
d = rt , for t

d/r = t

r/d = t

d + r = t

d - r = t

28.

x= 9 1/3

x = 21/4

x = 5 1/4

None of the above

29.

y + 7/16 = 19/32 (Hint: what is the common denominator?)

1/16

- 1/16

- 5/32

5/32

30.

Solve the following for x: 0.4x+1.6=-1.6x+53.2

25.8

-25.8

27.4

54.8

31.

solve for x (Hint: what is the common denominator?)

25/2

12/7

-5/2

-3/4

32.

solve for m (Hint: what is the common denominator?)

-15

-30

33.

There were 331 students that went on a field trip. Six buses were filled and 7 students traveled in a van. How many students were on each bus?

6 + 7x = 331

331 - 6x = 7

6x + 7 = 331

6x + 7y =331

34.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

10.95x + 12.57 = 89.22

12.57x + 10.95 = 89.22

89.22x -10.95 = 12.57

12.57 + 10.95 = 89.22

35.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a_n=2+6n

a_n=-6+6n

a_n=6n-4

a_n=4-6n

36.

Find the first term of the given sequence: (HINT work backwards to find the first term)

a₁₄=68

d=3

37.

Identify the common difference.
3, 7, 11, 15, ...

38.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5. HINT write an explicit formula FIRST.

39.

The next two terms of the sequence 4,7,10,13 are ....

16 and 19

15 and 19

16 and 18

15 and 18

40.

What is the 15th term of the sequence an = -3n+50

-5

-95

41.

The formula below gives the total number of figs in a tree:
F = 150 - 5M
where F = the number of figs and M = the number of monkeys in the tree. How many figs are there in a tree with 20 monkeys?

130

42.

Find the 32nd term of this sequence. (HINT write an explicit formula for this sequences first!)

9, 4, -1, -6, -11, ...

-34

-146

-225

43.

Find f(6) or a₆for this situation.

160

280

150

44.

The explicit rule for arithmetic sequence is a_n = a₁ + d(n − 1), what does the d represent.

common denominator

common difference

common divider

uncommon difference

45.

The length of a rectangle is twice its width. The perimeter of the rectangle is 60 feet. Find the dimensions of the rectangle.

10 by 15

10 by 20

25 by 5

20 by 20

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Advanced Algebra Chapter 1 Review

Total questions: 45

Worksheet time: 2hrs 44mins

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