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Algebra I - Unit 1 Review

Total questions: 19

Worksheet time: 38mins

Name
Class
Date
1.

Translate to an algebraic expression.

14 less than the quantity k times 6

a)

6k - 14

b)

14 + 6k

c)

14k - 6

d)

14 - 6k

2.

Ms. Monterrosa bought 6 Costco pizzas for $10 each and s sodas for $2 each.


Which of the following algebraic equations represents Ms. Monterrosa's total purchase, P?

a)

P = 6 + 2s

b)

P = 60 + 2s

c)

P = 10 + 2s

d)

P = 20 + 6s

3.

Find the value of  x+4x3x+4x^3  when

 x=23x=\frac{2}{3}  

a)

 263\frac{26}{3}  

b)

 5027\frac{50}{27}  

c)

 103\frac{10}{3}  

d)

 2627\frac{26}{27}  

4.
Evaluate the following expression:
-3x2 - 5x + 7 when x = -2
a)
5
b)
10
c)
12
d)
7
5.

Which equation is represented by the graph?

a)

y = 1/2x - 1

b)

y = 2x - 1

c)

y = -2x + 1

d)

y = 1/2x + 1

6.

Consider this table of x and y values.


Which of the following functions would describe the graph that best fits the points?

a)

f(x) = 3x + 9

b)

f(x) = x + 9

c)

f(x) = x + 3

d)

f(x) = 12x - 3

7.

Evaluate the expression. Let g = 3  h = 9 
 13\frac{1}{3}  h + 2g + 4

a)

31

b)

23

c)

10

d)

13

8.

Write a verbal expression for:

2a+6

a)

6 more than the product of 2 times a

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

the product of 2 and a, decreased by a

9.

If x = 6, y = 1, and z = 3, what is the value of the following expression?
 2xy+z1zx\frac{2xy+z}{1-zx}  

a)

 1517\frac{-15}{17}  

b)

 152\frac{-15}{2}  

c)

 1519\frac{15}{19}  

d)

 917-\frac{9}{17}  

10.

Evaluate y = 2|x-3|- 6x, for x = -7

a)

-62

b)

22

c)

20

d)

62

11.

Jamiya is going to the store to buy school supplies. She plans to buy 2 notebooks at n dollars each, 6 pencils at p dollars each and 3 erasers at e dollars each. Which expression represents the total cost, in dollars, for the school supplies?

a)

n + p + e

b)

3n + 2p + 6e

c)

2n + 6p + 3e

d)

6n + 2p + 3e

12.

Write an algebraic expression for:

35 decreased by triple the number n

a)

35n335-\frac{n}{3}

b)

353n35-3n

c)

n335\frac{n}{3}-35

d)

3n353n-35

13.

Evaluate the following expression when x = -3 and y = 7.
 352x+y-3\left|5-2x\right|+y  

a)

18

b)

-26

c)

-17

d)

-40

14.

Evaluate the algebraic expression when x = 5 and y = -2.

 20x+2xy\sqrt{20x}+2xy  

a)

-10

b)

undefined

c)

9

d)

-16

15.

Evaluate the expression using the order of operations.

 100(3210)+7\sqrt{100}\circ\left(3^2-10\right)+7  

a)

-3

b)

-33

c)

-10

d)

undefined

16.

Translate the sentence into an equation:

Four more than six times a number is y.

a)

10x = y

b)

4x + 6 = y

c)

4 + 6x = y

d)

4 + 6 = xy

17.

Which equation represents the values in the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

18.

If your equation is y = 3x - 10, what are the y-values that correspond with the x-values listed above?

a)

-16, -13, -10, -7, -4

b)

4, 7, 10, 13, 16

c)

-2, -1, 0, 1, 2

d)

-6, -3, 0, 3, 6

19.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D