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ECA Review Alg 1A

Total questions: 51

Worksheet time: 1hrs 26mins

Name
Class
Date
1.

"two times the sum of 8 and 5”

a)

2 x 8 + 5

b)

2 x (8 - 5)

c)

2 x (8 + 5)

d)

2 + 3 (8 + 5)

2.

The product of 3 and x

a)

x+3

b)

3x

c)

x-3

d)

x/3

3.
The product of seven and a number increased by five
a)
7+n+5
b)
7/n+5
c)
7n+5
d)
7-n+5
4.

Simplify

a)

232

b)

278

c)

332

d)

488

5.
Simplify the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
6.

Place numbers from least to greatest.

a)

-3/7, -0.44, √2, 0.14, 141%,

b)

-0.44, 0.14, -3/7, √2, 141%

c)

-3/7, -0.44, 0.14, 141%, √2

d)

-0.44, -3/7, 0.14, 141%, √2

7.

Distribute:

3 - (-2x + 4)

a)

-1 +2x

b)

-1 - 2x

c)

7 + 2x

d)

7 - 2x

8.

When x is 5 and y is 10 what is xy\frac{x}{y}

a)

2

b)

-2

c)

1/2

d)

10/5

9.

What is 1234\frac{\frac{1}{2}}{\frac{3}{4}}

a)

-2/3

b)

3/2

c)

3/4

d)

2/3

10.

Solve:

-10x + 5 = -25

a)

2

b)

-3

c)

3

d)

-2

11.

Solve:

3x - 4 + 2x = 5(x - 5)

a)

-25

b)

No Solution

c)

Infinite Solutions

d)

-4

12.

Solve for y:

3x - 2y = 6

a)

y=32x  3y=\frac{3}{2}x\ -\ 3

b)
y = 3x + 6
c)

y=32x 3y=-\frac{3}{2}x\ -3

d)
y = -2x + 6
13.

Which inequality represents:

all real numbers greater than 3

a)

-3 < x

b)
x = 3
c)
x > 3
d)
x < 3
14.

Which inequality represents:

Mr. R wants at least 20 students to earn an A

a)

X≥20

b)

X≤20

c)

X<20

d)

X>20

15.
more than
a)
<
b)
>
c)
d)
16.
At Least
a)
<
b)
>
c)
d)
17.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
18.

Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

19.

Look at the graph. Write the interval notation for the graph.

a)

(-2,5)

b)

(-∞,-2)⋃(5,∞)

c)

[-2,5]

d)

(-∞,-2]∪[5,∞)

20.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
21.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
22.
What is happening in the graph between 30 and 40 minutes?
a)
Sarah is accelerating
b)
Sarah is not moving
c)
Sarah is slowing down
d)
Sarah is travelling at a constant speed
23.

What is the algebraic equation for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

24.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
25.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
26.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
27.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
28.

Which of the following is a function?

a)
b)
c)
d)
29.

John is traveling to school:

At what segment is John traveling the slowest but still moving? 

a)

A

b)

B

c)

C

d)

D

30.

Which ordered pair would make the following NOT a function

a)

(3, 0)

b)

(2, 1)

31.

Which best described the rate of change (slope) of the graph.

a)

The plant grows

2 cm/day

b)

The plant grows

2 days/cm

c)

The plant grows

1 cm/day

d)

The plant grows

1 day/cm

32.

Which is the correct slope and y intercept of:

y = -2x + 7

a)

Slope: 7

Y int: (0,2)

b)

Slope: -2

Y int: (7,0)

c)

Slope: -2

Y int (0,7)

d)

Slope 7

Y int (-2,0)

33.
Graph x + y = 3
a)
A
b)
B
c)
C
d)
D
34.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
35.

What is the y intercept of:

-3x + 6y = 12

a)

2

b)

-2

c)

4

d)

-4

36.

What is the slope of the line x = 2

a)

Undefined

b)

Zero

37.

What is the slope of the line y = 2

a)

Undefined

b)

Zero

38.

What is the line of best fit?

a)

f(x)= 5x+1.82

b)

cannot be determined

c)

f(x)= 1.82x + 5.02

d)

f(x)= 1.1x + 4.2

39.

Are the following equations parallel, perpendicular or neither?
f(x)=23x+1  and g(x)=23x+5f\left(x\right)=\frac{2}{3}x+1\ \ and\ g\left(x\right)=\frac{2}{3}x+5  

a)

Parallel

b)

Perpendicular

c)

Neither

40.

Are the following equations parallel, perpendicular or neither?
p(x)=23x+5  and r(x)=32x+5p\left(x\right)=\frac{-2}{3}x+5\ \ and\ r\left(x\right)=\frac{3}{2}x+5  

a)

Parallel

b)

Perpendicular

c)

Neither

41.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
42.

Choose the correct equation for the graph.

a)

 y=x+2y=\left|x+2\right|

b)

y=x2y=\left|x-2\right|

c)

y=x+2y=\left|x\right|+2

d)

y=x2y=\left|x\right|-2

43.

Choose the correct equation for the graph.

a)

 y=x+2y=\left|x+2\right|

b)

y=x2y=\left|x-2\right|

c)

y=x+2y=\left|x\right|+2

d)

y=x2y=\left|x\right|-2

44.

Choose the correct equation for the graph.

a)

 y=x+2y=\left|x+2\right|

b)

y=x2y=\left|x-2\right|

c)

y=x+2y=\left|x\right|+2

d)

y=x2y=\left|x\right|-2

45.

Choose the correct equation for the graph.

a)

 y=x+2y=\left|x+2\right|

b)

y=x2y=\left|x-2\right|

c)

y=x+2y=\left|x\right|+2

d)

y=x2y=\left|x\right|-2

46.
Solve.
|y - 4| ≥ 8
a)
y ≤ -4 or y ≥ 12
b)
-4 ≤ y ≤ -12
c)
y ≤ 4 or y ≥ -12
d)
-12 ≤ x ≤ 4
47.

T Mobile Charges a one time fee of $50 and $25 per month for cell service. Verizon charges a one time fee of $40 and $30 per month. Which choice shows the correct equations AND solution

a)

50 + 25x = 40 + 30x

x = -2

b)

50 + 25x = 40 + 30x

x = 1/2

c)

50 + 25x = 40 + 30x

x = 2

d)

50 + 25x = 40 + 30x

x = -1/2

48.

Solve the following the Compound Inequality 2<2(x6)4-2<2\left(x-6\right)\le4  

a)

5<x85<x\le8  

b)

5>x85>x\ge8  

c)

x<5 and x8x<5\ and\ x\ge8  

d)

x>5 and x8x>5\ and\ x\le8  

49.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
50.

m= 5


(2, 4)

a)

y - 2= 5(x - 4)

b)

y - 4= 5(x - 2)

c)

y- 5 = 4(x - 2)

d)

y - 2 = 4(x - 5)

51.
convert to slope intercept form:
y -  5 = 3 (x - 2)
a)
y = 3x - 1
b)
y = 3x + 7
c)
y = 3x + 11