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WorksheetsAlgebra 1 Standards - QUIZ
Total questions: 150
Worksheet time: 3hrs 38mins
Solve the linear equation: 3x−7=2x+5
x=12
x=−12
x=5
x=−5
Simplify the algebraic expression: 4(a+3)−2a
2a+12
2a+3
6a+3
6a−12
Graph the linear function y=2x+1 . What is the y-intercept?
1
2
-1
-2
Factor the quadratic expression: x2−5x+6
(x−2)(x−3)
(x+2)(x+3)
(x−2)(x+3)
(x+2)(x−3)
Simplify the expression using exponent rules: (x3)(x4)
x12
x7
x6
x5
Add the polynomials: (3x2+2x+1)+(2x2−3x+4)
5x2−x+5
5x2+x+5
x2−x+5
x2+5x+5
Determine if the relation represented by the set of points {(1,2),(3,4),(5,6),(1,3)} is a function.
Yes
No
Cannot be determined
None of the above
What is the degree of the polynomial 4x3−3x2+2x−5 ?
1
2
3
4
Factor completely: 6x2−11x−10
*Hint - Use the Slipe & Slide Method
(2x+5)(3x−2)
(3x+5)(2x−2)
(6x+5)(x−2)
(6x−5)(x+2)
Which of the following represents a linear function?
y=x2+3x+2
y=3x+4
y=x1+2
y=x+1
Evaluate the expression using the given values: 3a2−2ab+b2 , where a=2 and b=3 .
7
11
13
17
Graph the inequality y<2x−1 . Which of the following is true about the graph?
The line is dashed and shaded above.
The line is solid and shaded above.
The line is dashed and shaded below.
The line is solid and shaded below.
What is the equation of a line when m = -3 and b = 5?
y = -3x + 5
y = -3x - 5
y = 5x + 3
y = -5x - 3
y=-x+4
Identify the slope and y-intercept.
Write the slope-intercept form of the equation with the given point and slope.
m = 5 through ( - 1, - 3 )
*Hint - Point-Slope Form is y−y1=m(x−x1)
y = 5x + 2
y = - 5x - 5
y = - 5x + 2
y = 2x - 5
What is the equation of a line with a slope of 4 and a y-intercept of 2?
y = -4x + 2
y = -2x + 4
y = 4x + 2
y = 2x + 4
What is the equation of a line when m = -3 and b = 5?
y = -3x + 5
y = -3x - 5
y = 5x + 3
y = -5x - 3
4x + 2y = -12
A fitness club opens with 90 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
y=15x
y=15x+90
y=x+15
y=90x+15
4x + 2y = -12
y=4x+5
if x=−2
What does y equal?
-8
Write an equation: The total cost of renting a car is $65 for deposit and $37.50 per day.
x = 65 + 37.50 y
y = 65 x + 37.50
y= 92.50x
y= 37.50 x + 65
What is the correct slope-intercept form?
y = mx + b
y = mb + x
y = x
y = -mx + b
Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.
y = -30x + 800
y = 30x - 800
y = -30x
y = 12x - 30
Given the equation y = -3x - 5, what would the ordered pair be if you subbed in x = 2?
(2, -11)
(2, -1)
(2, 1)
(2, 11)
Sandra has a $20 itunes gift card and spends $3 each month. Which equation represents the relationship between the amount of money left (y) and the number of months (x)?
y=3x + 20
y=3 + 20x
y= -3x + 20
y= -20x + 3
Level 1: For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
-1
1
-3
5
Each small moving box, m, costs $1.25. Which of the following equations best represents the cost, c, of buying m, moving boxes?
m = 1.25c
c = m + 1.25
m = c + 1.25
c = 1.25m
You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.
Which of the following equations matches the situation?
0.75x + 3y = 50
y = 0.75x + 3
y = 3x + 0.75
3x + 0.75y = 50
50 = -0.75x + y
If f(x) = 2x + 1, what would be your first step to find f(1)?
Plug a 1 in for all the x's
Set the function equal to 1
Only plug a 1 into the left side
Only plug a 1 into the right side
Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?
y-8=5(x-3)
y=5x+8
y-3=5(x-8)
y-y1= m(x-x1)
Are these two lines parallel, perpendicular or neither?
y = -1/4 x - 5
y = 4x + 2
Parallel
Perpendicular
Neither
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
C = 50h + 25
C = 25h + 50
C = 50h - 25
H = 25h - 50
What is the y-intercept of this line: y = 5x
5
0
-5
Not enough information
Ty earns $12 per hour. Which of the following equations best represents how much money, m, he earns on a shift of h hours?
m = 12h
m = 12 + h
h = 12m
h = 12 + m
The equation y = 8.25x +250 represents the amount y that Danika earns by working at the grocery store for x hours, plus a monthly bonus. Which of the following is the amount of Danika's monthly bonus?
$250
$8.25
$258.25
$82.50
For the line given by:
y=4x+5
m=5 and (0,4) is the y-intercept
m=4 and (0,5) is the y-intercept
m=4 and (5,0) is the y-intercept
m=5 and (4,0) is the y-intercept
Is the following equation in slope-intercept form or point-slope form?
y=−31x−17
Point-Slope Form
Slope-Intercept Form
Which equation represents the graph of the function with point (-2, 5) and slope of 3?
y=3x+5
y−5=3(x+2)
3x−y=11
y−5=3(x−2)
Fill in the blank!
The y -intercept is ALWAYS where x = (a)
What is 'b' in this linear equation? y= 5x - 6
6
5
y
-6
y = -4x - 3
SLOPE is
3
14
−14
-3
Which equation has a positive slope and a negative y-intercept?
y = - 2x + 6
y = 0.5x + 8
y = 4/3x - 12
y = - 6x - 16
In the linear equation, y = mx+b, the m stands for?
slope
y intercept
Which letter represents the y-intercept in the slope-intercept form of an equation?
b
m
x
y
A balloon is released at 5 feet and rises 3 feet per second. What is the y intercept?
5/3
5
3
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
What equation of a line is parallel to: y = 3/4x + 2
y= -4/3x + 5
y= 2x + 3/4
y= 3/4x + 6
y = -4/3x
What does "m" represent in y=mx+b ?
Consider the equation: y=−x+4 . Identify the slope and y-intercept.
m=4
b=−x
m=−x
b=4
m=1
b=4
m=−1
b=4
m = 4
What is the y−int of the following equation, y=−53x −30?
53
-30
30
- 53
Given y = 2x + 1, find the value of y when x = 5
(a)
y = mx + b
Slope
Range
Vertex Formula
Standard Formula
Slope Intercept Formula
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
What is the slope:
5x + 10y = 30
m = -1/2
m = 1/2
m = 3
m = 1/3
Identify the x-intercept:
2x+5y=10(2, 0)
(0, 2)
(5, 0)
(0, 5)
Which is FALSE about the line y=3x+7
The slope is 3/1
The x-intercept is 3
The y-intercept is 7
The line goes up from left to right
y=4x+5
if x = 0
What does y equal?
-5
5
4
0
What is the parallel slope?
y=4x−6
4
−4
41
−41
A linear equation written in the form y = mx + b is in __________ form.
y-intercept
point-slope
slope-intercept
standard
Given f(x)=4x+15 find the value of x for f(x)=11
59
29
–1
6.5
1. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. What is the constant?
$3
$5
$8
Which equation shows a line that passes through the origin?
y = x + 1.5
y = x - 1.5
y = 1.5x
y = 5x + 1
Which ordered pairs match this rule? (There are THREE answers. Check ALL that apply)
y = 3x
(0, 3)
(0, 0)
(4, 12)
(9, 3)
(3, 9)
Which line has a slope of 5?
y - 2 = 5(x - 2)
3x + 2y = 12
y = 4x + 6
2y = 5x - 7
The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas.
If the car has gone 170 miles, how much gas was used?
3.5 gallons
4.25 gallons
4 gallons
6.5 gallons
If a = 4 and b = 6, what is the value of 3a + 5b?
40
42
44
46
I'm not sure
What is the slope of a line that passes through the coordinates (4,1) and (8,3)?
-2
-1/2
1/2
2
The y-intercept, b (also called the vertical intercept), tells us where the line crosses the ___________.
y-axis
x-axis
the second quadrant
the fourth quadrant
What is the slope of the equation y = x?
0
x
y
1
If my function rule is y=4x, what is the OUTPUT (y) if the input (x) is 5?
45
54
9
20
What is the slope of the equation y = 4 + 2x?
4
2
1/2
-2
The ___________ is the point where a line crosses the x-axis.
y-intercept
x-intercept
domain
range
Simplify the expression (−2x3y4)4 .
16x12y16
−16x7y8
−24x12y16
−2x7y8
115118
Simplify.
118
113
1124
13
According to exponent rules, when we raise a power to another power we _______ the exponents.
add
subtract
multiply
divide
Simplify
x2⋅x8
x10
x16
x6
x4
According to exponent rules, when we divide the same base, we _______ the exponents.
2x2
32x2
2x8
32x-2
Simplify x3(x9)
x3
x27
x12
x6
Simplify. 5-2
-25
-10
-1/25
1/25
Simplify so there are no negative exponents in the answer.
27n91
n9−27
n6−27
n6−9
Simplify
(x2y5)6
xy42
xy13
x8y11
x12y30
Simplify
(3x)3(6x4)2
34x5
2x5
2x2
3x3
7x0⋅ 5x3
35x3
35x4
2x3
35x2
(3x)3
9x3
x3
27x3
6x3
Simplify: (3x)0
Write the answer as a base with an exponent.
124
125
126
1214
(x5y7)3 = x15y21
True
False
Evaluate:
(5a5 - 2b)2
25a10 - 20a5b + 4b2
25a10 + 10a5b + 10b2
10a10 - 10ab + 4b2
25a10 - 7a5b + 4b2
Please simplify completely.
32a11
16a11
16a10
32a10
(-4r3s5)0 (3b4c2d)
(5ab2)2
Simplify (3x52x3y3)0
0
2/3
1
3x5
Find the perimeter of the triangle
4x+64
4x2+64
3x+50
3x2+50
Are the following terms 'like' or 'unlike'....
7a2
2a
Like
Unlike
What is the coefficient of this term?
9x3
None
9
3
x
Are the following terms 'like' or 'unlike'....
5ab
3ac
Like
Unlike
What is the DEGREE of the polynomial 3x3 + 2x4 + 5x ?
1
2
3
4
A polynomial with TWO terms is called a
monomial
binomial
trinomial
none of the above
How many terms are in
3x2 +4x − 5
1
2
3
None
How many terms does the expression below have?
2ab3 + 3a2b5 - 5a5b3
0
1
3
2
The number part in front of a term is called the _______
Coefficient
Variable
Exponent
Find the sum or difference.
(12p−5q2−q)−(q2−3p+8p2)
−8p2−6q2+p−15q
−8p2−6q2+15p−q
−8p2+6q2−15p+q
−8p2−6q2
(2x+3)(3x+4)
What is the formula for pythagorean triple
a² + b² = c²
a² + c² = b²
c² + b² = a²
2a² + b = c²
g(x)=5x2−4x+11x3−7
Linear
Quadratic
Cubic
System
Exponential
Simplify.
2x−4y3
x42y3
2y3x4
2x4y3
y32x4
What is the area of this rectangle?
48
8x2+14x+6
8x2+x+5
2x2+6x+8
A function with degree 3 is called
constant
cubic
linear
quadratic
Simplify (multiply)
(3x2)(3x4y3)
9x6y3
3x6y3
6x8y3
6x8y6
Find the product.
(5c+9)(5c−9)25c2−81
25c2+81
5c2−81
25c2−9
(−2x3y2)(5xy4)
3x3y8
3x4y6
−10x3y8
−10x4y6
-3x2( 7x2 - x + 4)
Factor the quadratic expression: x2+7x+10
(x+2)(x+5)
(x−2)(x−5)
(x+2)(x−5)
(x−2)(x+5)
Which of the following is a factor of the polynomial 3x3−9x2+6x ?
3x
x−2
x+2
x−1
Factor completely: 4x2−16
2x+4
4(x−2)
4(x2−4)
4(x+2)(x−2)
