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WorksheetsCh. 1-5 Review (Algebra)
Total questions: 193
Worksheet time: 9hrs 18mins
Solve the equation:
x+21=43
64
1
41
45
Solve the equation:
4z=12
48
3
8
16
Solve the equation:
5n=−20
-100
-4
4
100
Solve the equation:
g+5=17
12
22
No Solution
All Real Numbers
Solve the equation:
23
3
No Solution
All Real Numbers
Solve the equation:
8
1
11.5
No Solution
Solve the equation:
35
7
No Solution
All Real Numbers
Solve the equation:
21(6x+4)=5(2x−8)
7
42
6
No Solution
Solve the equation:
∣b−12∣=15
27
3
-27
-3
Solve the literal equation for y:
2x+5y=3y+8
y=38x−2
y=−x+4
x=25y−8
No Solution
At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. How many books did you buy in addition to the tote bag?
4
2.24
10.5
6.8
Solve for x 3 l 4x−1 l −5 = 10
Select ANY/ALL value(s) of c for which this equation has NO SOLUTION:
−3x+8=−3x+c
-6
8
6
2
Select ANY/ALL value(s) of c for which this equation has NO SOLUTION:
∣x−2∣=c
2
-1
0
-3
Solve the equation:
7n+3=2n+23
4
5
20
No Solution
Solve the equation:
−2(2x+4)=4(2x−8)
24
12
2
No Solution
Solve the equation:
∣b−7∣=20
27
-27
13
-13
At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. How many books did you buy in addition to the tote bag?
4
2.24
10.5
6.8
-11 + 3(b + 5) = 7
Solve: -3w = 30
-27
9
-10
33
7(1 - x) = -3(y - x)
2(a + 4) = 2a - 8 + 4a
l 2x−1 l +4 = 8
l 2x−1 l = 9
5x - y = 16
pV = nRT
solve for R
R= p/n + V/T
R= pV - nT
R= (pV-n)/T
R=pV/nT
x = -26
x = 26
x = 25
x = -7
Solve the equation:
x+21=43
64
1
41
45
Solve the equation:
4z=12
48
3
8
16
Solve the equation:
5n=−20
-100
-4
4
100
Solve the equation:
g+5=17
12
22
No Solution
All Real Numbers
Solve the equation:
23
3
No Solution
All Real Numbers
Solve the equation:
8
1
11.5
No Solution
Solve the equation:
35
7
No Solution
All Real Numbers
Select ANY/ALL value(s) of c for which this equation has NO SOLUTION:
−3x+8=−3x+c
-6
8
6
2
Select ANY/ALL value(s) of c for which this equation has NO SOLUTION:
∣x−2∣=c
2
-1
0
-3
Solve the literal equation for y:
x−4y=y+6
x=5y+6
y=5x−6
x=25y−8
No Solution
Solve the literal equations for h:
V=πr2h
h=V−πr2
h=2πr
π=r2hV
h=πr2V
At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. How many books did you buy in addition to the tote bag?
4
2.24
10.5
6.8
Write the sentence as an inequality:
The temperature t is at least 75oF.
t>75
t<75
t≤75
t≥75
Write the sentence as an inequality:
The cost of a ticket t will be no more than $26.
t>26
t<26
t≤26
t≥26
Write an inequality that represents the graph.
x<2
x≥2
x≤2
Write an inequality that represents the graph.
x<3
x≥3
x≤3
Solve the inequality.
m>−3
m<−3
m>−15
m>3
Solve the inequality.
No Solution
All Real Numbers
z≤−1
z≥−1
Solve the inequality. Select ALL that apply.
−3y>9 or 2y−6>2
y<−3
y>−3
y<4
y>4
Solve the inequality.
−1<c+2<3
−3<c<1
−3>c>1
−1<c<5
No Solution
Solve the inequality:
m≤1
m≥1
m≥45
m≤45
Solve the inequality:
All Real Numbers
No Solution
n>−45
n<5
Solve the inequality:
x<61
No Solution
All Real Numbers
x<−61
Solve the inequality:
x<3
x>−3
No Solution
All Real Numbers
Solve the inequality. Select ALL answers that apply.
y≤1
y≥6
y≥1
y≤6
y≥−1
Solve -4|x + 1| < -20
x < -6 or x > 4
-6 < x < 4
-4 < x < 4
x < -4 or x > 4
Solve |x - 4|- 3 < 5
-12 < x < 12
No solution
-4 < x < 12
x > -4 or x < 12
Which inequality matches this graph?
x > -1 or x < 2
-1< x > 2
-1 < x < 2
-1 > x < 2
|x| > 7 Is this an "and" or an "or"?
And
Or
Write the sentence as an inequality:
The temperature t is at least 75oF.
t>75
t<75
t≤75
t≥75
Solve the inequality.
m>−3
m<−3
m>−15
m>3
-6w + 1 = -11
Find the all the solutions to: x+7=7+x
0
no solution
infinitely many solutions
1
-4(5x + 3) - 6x > 11 - 3x
x < -1
x < -7
x < 5
x > 4
x > 3
l 4x−3 l = 17
l x−6 l + 4= 10
| x + 9 | = -5
Solve the following equation:
|−2n| + 10 = −50
{30, −30}
{20, −20}
{−5, 5}
No Solution
Solve: |x + 3| < 8
-11 < x < 5
x > 11 or x < -5
5 < x < 11
|x + 3| > 8
-11 < x < 5
x > 11 or x < -5
-5 < x < 11
Solve: |2x + 1| ≥ 19
x ≥ 9 or x ≤ -10
-10 ≤ x ≤ 9
x ≥ 10 or x ≤ -9
-9 ≤ x ≤ 10
Solve.
b < -8
b > -8
All real numbers
No solution
Solve: |k| > -8
x > 8 or x < -8
-8 < k < 8
No solution
Infinite solution
Solve: |k| < -8
x > 8 or x < -8
-8 < k < 8
No solution
Infinite solution
Solve: -3 ≤ 2x - 1 ≤ 5
-1 ≤ x ≤ 3
-2 ≤ x ≤ 6
-3 ≤ x ≤ 3
1 ≤ x ≤ 3
Solve:
3x + 2 < -7 or -4x + 5 < 1
All real numbers
x < -3 and x > 1
x < -3 or x < 1
x < -3 or x > 1
Give the solution set for: -13<2x+5<15
-9>x>5
-9<x<5
-4<x<5
-4>x>5
2m - n = 8
Solve for a: 12am = 4
a =3m1
a = 4 -12m
a = 412m
a = 12m − 4
Find the slope and y - intercept
y = 1/2x - 1
slope: 1/2 y-intercept: -1
slope: 2 y-intercept: -1
slope: 1/2x y-intercept: 1
slope: 2 y-intercept: 5
Which equation is written in STANDARD form?
y = 1/2x + 2
y = 2x + 1
7x + 2y = 9
2x + 3 = 6
Find the slope of the line.
Undefined
0
2
-1
D
y=|x+2|+2
y=−|x|+4
y = 5|x|
y = -2 I x - 3 I + 3
y=2|x-3|+1
Write an absolute value function given the following transformations: Reflection across the x-axis
Horizontal shift right 2 units
Vertical shift down 7 units
Is this graph a function or not a function?
Function
Not a Function
f(x)=-3x+4
If f(x)=-2, what is the value of x?
10
2
-3
4
R: {0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
What is the slope of the equation?
7
43
-7
9
Find the slope and y - intercept
y = -3x + 1
slope: -3 y-intercept: 1
slope: -1/3 y-intercept: 1
slope: 3x y-intercept: -1
slope: -3 y-intercept: -1
What is the y-intercept?
y = 6x - 4
6
6x
-4
4
Which equation is written in STANDARD form?
y = 1/2x + 2
y = 2x + 1
7x + 2y = 9
2x + 3 = 6
What is the y-intercept.
y-intercept is -3
y-intercept -2
y-intercept is 3
y-intercept is -1
Describe the slope of the line.
negative slope
0 slope
positive slope
undefined slope
Find the slope of the line.
Undefined
0
8
-1
y=|x+2|+2
y=−|x|+4
y = 5|x|
y = -2 I x - 3 I + 3
y=2|x-3|+1
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units
Is this a function?
Yes
No
Maybe
It's a curvy line
Is this a function?
Yes
No
Let me ask my dog...
Why are there letters in math?
Is this a function?
Yes
No
I'm Confused
May I phone a friend?
Is this a function?
Yes
No
Given f(x) = 2x-3, what is the value of f(3)?
7
4
3
1
Given f(x) = 3(6 -x), what is the value of f(-8)
-42
6
-6
42
What is the slope of the line that passes through these two points (0, -2) and (3, -4)?
2/3
-2/3
3
-2
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 = -7 and b = -8?
y = -7x + 8
y = -7x - 8
y = 7x - 8
y = 7x + 8
What is the equation of a line with a slope of 2 and a y-intercept of -5?
y = 5x - 2
y = 2x - 5
y = -2x - 5
y = 2x + 5
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
A scatter plot shows data that forms a line which falls from left to right. Which correlation coefficient is most likely to represent this pattern?
r=.05
r= -0.05
r= 0.8
r= -0.75
y = 3x +2
y = 3x - 3
These lines are...
Parallel
Perpendicular
Neither
y = 3/2x + 9
These lines are...
Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7
y = 2/9x + 8
y = 9/2x -12
-2y = 9x + 8
9y = 2x -18
y= 40x+100, where x is number of weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
What type of correlation does this scatterplot display?
Positive
Negative
No Correlation
Are these two lines parallel, perpendicular or neither?
y = -1/4 x - 5
y = 4x + 2
Parallel
Perpendicular
Neither
Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10
y=12x-10
y=10x+12
y=12x+10
x=10x-12
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)
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
y = -5x + 3 through (-5, -4)
5x + 4y= −14
y = −7x − 15
Solve the system by substitution
y = -6x + 5
-2x + y = 5
(-3, -6)
(-6, 3)
(0, 5)
(-3, 5)
Solve the system by substitution
6x + y = -1
y = -3x - 4
(3, 1)
(1, 7)
(-3, 1)
(1, -7)
Solve the system by substitution
x = -3y - 8
x - 2y = -3
(5, -1)
(-5, 1)
(-5,-1)
(1,-5)
Solve the system by substitution
y = -2x + 18
y = 8
(5, 8)
(-5, 8)
(2, 8)
(-2, 8)
Solve the system by substitution
y = 2x + 1
y = 4x - 1
(1,3)
(-1,-3)
(-1,3)
(3,1)
Solve the system by substitution
y = -2x + 5
y = 2x - 11
No Solution
(0, 0)
(3, -1)
(4, -3)
4x+9y=28
-4x-y=-28
3x+7y=23
-3x-7y=-17
-9x-4y=-20
5x+4y=4
4x+4y=4
3x+4y=10
-x+2y=17
2x+2y=-10
