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WorksheetsAlgebra Review through 4.6
Total questions: 176
Worksheet time: 8hrs 23mins
-3(x + 4) - 2 = -7x + 18
97=−3(6n−5)−8
−10
16
−5
−2
-2x - 7 + 3x = 10
x=-2
x=3
x=10
x=17
Solve:
3
4
-7
15
Consider the graph.
Which equation best represents the graph shown?
3x−3y=3
4x+4y=0
5x−5y=−5
6x+6y=−6
The graph shows the solution of a linear equation.
What is the linear equation?
y=−4x+4
y=−3x+4
y=3x+2
y=5x+3
−2x = 3y − 15
Solve for y so it is in Slope-Intercept Form.
y = −23x −215
y =−32x + 5
y = 32x − 5
y = 23x + 5
3y = 6x − 12
Solve for y.
y = 21x + 6
y = 2x + 6
y = 2x + 4
y = 2x − 4
x=
The coefficient of the variable is
The variable is:
S = 3F - 24 Solve for F
F = (S + 24)/3
F = S/3 + 24
F = 3S + 24
F = 3(S + 24)
4 – 3(x – 8) = 61
(-2, -1); m= -3
y -1 =- 3(x - 2)
y -1= - 3(x + 2)
y +2=+ 3(x - 1)
y +1= - 3(x + 2)
y + 2 = -3(x - 5)
2 - 4x = 3x - 12
-2 ⋅ (3 + 8 ÷ 4)2
|5 + 12| + |−10|
27
17
|2 − 8| − |−5|
1
-1
11
5
|9 - (−8)| − |12|
5
-5
29
-29
Simplify using order of operations.
2
6
31
12
Simplify using order of operations.
1
51
65
-1
(−5)2−2(−9)+6
(a)
(−3)3−2+8÷(−8)
(a)
4×(−8)+6−(−2)3
(a)
(4 + 3)2+5 x 3
57
64
29
44
Simplify the following:
∣−2+7∣
9
5
−5
−9
a + 6(3c – b) ÷ 32
Combine like terms to simplify:
2x² + 2x + x² + x
4(8x + 1) - 6(1 - 8x)
Five less than half of a number
5−2x
25−x
2x−5
2x−5
Eight less than four times a number
4x−8
8−4x
4(x−8)
4(8−x)
Twice the sum of a number and seven
2(x+7)
2x+7
2(x−7)
2x−7
Ten less than five times a number cubed
5x2−10
5x3−10
10−5x2
10−5x3
Three times the difference of a number squared and 15
3x2−15
3(2x−15)
3(x2−15)
5(15−x2)
Sixteen less than the quotient of twice a number and five
16−52x
16−5x2
5x2−16
52x−16
Two-thirds of a number decreased by twelve
32x−12
23x−12
12−32x
12−23x
Ten less than a number cubed
10−x3
x3−10
10−3x
3x−10
9−2x=35
What is x?
x=22
x=-13
x=935
x=-4
−14=r−11
What is a good first step to solving this equation?
Add 14 to both sides.
Subtract 11 from both sides.
Add 11 to both sides.
Subtract 14 from both sides.
Solve p2 + m
if m = 1, and p = 5
(a)
Solve y + 9 − x
If x = 1, and y = 3
(a)
Solve y − (z + z2 );
If y = 10, and z = 2
(a)
What is the value of the expression
x2 + y2 + x - y
when x = -1 and y = 3
6
8
12
16
Solve a2 - b2
Evaluate if a = 4 and b = -2
4
20
-4
12
Solve g2 - 3(h - g)
Evaluate if g = 3 and h = -2
6
9
24
5
Evaluate 2x + 5(y - 1) when x = 8 and y = 5
20
31
36
-4
f(x) = -2?
Given g(x) = 4x - 7, find g(-9).
g(-9) = 29
g(-9) = -43
g(-9) = 43
g(-9) = -29
f(x) = -2?
Which mapping diagrams are functions?
Which table is not a function?
Which ones are not functions?
Click on each word that means the "Domain"
Range
Input
x values
Independent variable
Dependent variable
This is an example of:
Exponents
Expression
Coefficient
Variable
What vocabulary word matches this example?
Coefficient
Term
Variables
Expression
Which vocabulary term matches the example?
Factor
Like Terms
Evaluate
Constant
Which vocabulary word matches this example?
Variable
Constant
Like Terms
Distributive Property
Which vocabulary word matches the example?
Coefficient
Variable
Algebraic Expression
Term
Define coefficient.
the number multiplied by a variable
to replace a value for a variable
a number standing alone
to find the value of an expression
5x + 3y - 15 + x
x + y
The set of input (x) values
domain
range
vertex
parabola
Which graph represents the equation y=4x−1
y=-x+4
Identify the slope and y-intercept.
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
y-10 = -2(x+7)
y-10 = -2(x-7)
y+10 = -2(x+10)
y -10 = -2x+2
Determine the slope of the line graphed.
−37
−73
37
Which is the slope of a line that is perpendicular
to the line whose equation is 5x − 3y = −10?
53
−53
35
−35
Which ratio does not represent the slope of a line?
runrise
ΔxΔy
ΔyΔx
horizontal changevertical change
For a linear function, which statement about slope and rate of change is true?
The slope is greater than the rate of change when the slope is positive.
The slope is equal to the rate of change.
There is no relationship between slope and rate of change.
Slope and rate of change are related, but more information is needed to describe the relationship.
What is the slope of x = 7?
-7
0
7
undefined
Which shows the equation of the line 4y = 3(x - 21) written in standard form?
−3x+4y=−63
−3x+4y=−21
3x−4y=63
−3x−4y=21
What is the equation and slope of the line shown on the grid?
y = 6; slope is -1
x = 6; slope is zero
y = 6; slope is 6
x = 6; slope is undefined
3x + 7 - 9x + 24y + 2x2
-8 (5b + 2) -7 (b - 5)
Simplify the following expression:
(5x4 - 3x + 8x2) - (8x4 - 7x2)
726
121
241
183
362
Given f(x)=3(x+8)−9x , what is f(4) ?
(a)
Find the x and y intercepts of
3x - 2y = -12
x intercept: (a)
y intercept: (b)
What are the x and y intercepts for the given graph?
x int = (a)
y int = (b)
Identify the y-intercept of the following linear equation written in standard form.
9x + 3y = -18
(0, -6)
(-6, 0)
(-2, 0)
(0, -2)
Identify the x-intercept of the following linear equation written in standard form.
-8x - 4y = 8
(-1, 0)
(0, -1)
(-2, 0)
(0, -2)
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
What is the y-intercept?
12
-3
8
0
4212
72
141
216
217
3521
357
155
53
75
Multiply and Simplify if possible.
−94⋅−41
1/9
-1/9
-9
9
Which fraction is equivalent to −812 ?
23
3−4
34
2−3
Which statement is true?
32=−3−2=3(−2)
32=−32=−3−2
−(32)=(−3)2=−3−2
−(32)=(−3)2=3(−2)
What is the slope of the line?
Find the slope of the line.
What is the slope of the line?
adding 2x to 3x
adding 2x to - 2x
subtracting 5 from both sides
dividing by 5 on both side
adding 5x to each side instead of 5
subtracting 7 from both sides
dividing -4 by 2 equals to 2
dividing both sides by 2
Subtracting 1 from both sides
dividing by 6 on both sides
3 ( 2x + 1 ) equals 6x + 1
x equals 3/4
adding 1 to both sides
subtracting 6 from both sides
distributing the negative sign when multiplying -3 ( x + 2)
x should equal to 5/3
adding 5x to - 3x equals 8 x
subtracting 7 from both sides
dividing by 8 on both sides
simplifying - 4/8 to -1/2
S = 3F - 24
Solve for F
F = (S + 24)/3
F = S/3 + 24
F = 3S + 24
F = 3(S + 24)
8x + 4y = 16
Solve for y
y = -8x + 16
y = 2x - 4
y = -2x + 4
y = -8x + 12
