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WorksheetsU1 - Pre-Algebra Review (2025)
Total questions: 203
Worksheet time: 4hrs 32mins
Find f(2) if
f(x)=30÷5x
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find g(3) if
g(x)=1+2x
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find h(2) if
h(x)=18÷9x
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find f(3) if
f(x)=8−2x12−x⋅2
DO NOT USE A CALCULATOR.
undefined
f(3)=0
f(3)=1
f(3)=66
f(3)=9
Find g(2) if
g(x)=9−7+xx+3x
DO NOT USE A CALCULATOR.
g(2)=411
g(2)=undefined
g(2)=425
g(2)=0
g(2)=1
Find f(-3) if
f(x)=3−x212−4+2
DO NOT USE A CALCULATOR.
f(−3)=−35
f(−3)=18−5
f(-3)=-1
f(−3)=65
f(−3)=185
Find p(-3)
p(x)=5−2x2
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find f(-10) if
f(x)=15−x+7
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
g(2) if
g(x)=40÷10x
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find f(-7) if
f(x)=17−x+3
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find f(1) if
f(x)=9−8+x12−2⋅6
DO NOT USE A CALCULATOR.
f(1)=0
undefined
f(1)=20
f(1)=30
f(1)=260
Find g(5) if
g(x)=100÷10x
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find h(8) if
h(x)=20−x+10
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find h(-5) if
h(x)=10+x2
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find j(-4) if
j(x)=2x2
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find f(-3) if
f(x)=2+4x2
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find f(-3) if
f(x)=x+310
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
f(−3)=0
f(−3)=610
f(−3)=35
f(−3)=1
Find g(3) if
g(x)=66−2x
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Find h(-3) if
h(x)=10−2x2
Write your answer in function notation. Do not type spaces.
DO NOT USE A CALCULATOR.
(a)
Solve. Round to the nearest hundredth if necessary. Indicate "identity" or "no solution" if applicable.
2(3x+4)=26
(a)
Solve. Round to the nearest hundredth. Indicate "identity" or "no solution" if applicable.
13−3(4x−9)=56
(a)
Solve. Round to the nearest hundredth. Indicate "identity" or "no solution" if applicable.
13+3(4x−9)=56
(a)
Find the perimeter of the rectangle. Do not type spaces between terms.
(a)
Simplify. Do not type spaces between terms.
43−2(7x−8)
(a)
Simplify. Do not type spaces between terms.
43−2(7x+8)
(a)
Simplify. Do not type spaces between terms.
43+2(7x−8)
(a)
Simplify. Do not type spaces between terms.
20−5(3x−7)
(a)
Simplify. Do not type spaces between terms.
20+5(3x−7)
(a)
Solve. Round to the nearest hundredth.
20−5(3x−7)=86
(a)
Solve. Round to the nearest hundredth.
20+5(3x−7)=86
(a)
Find the perimeter of the rectangle. Do not type spaces between terms.
(a)
Simplify. Do not type spaces between terms.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
4(3x+7)>12x+7
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
(a)
x=x
identity
x+1=x
no solution
10x=5x
x=0
10=5x
x=2
10=−5x
x=-2
Solve. Round to the hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
10x+30=5(x+6)
(a)
Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.
17x−13+4x>−47
(a)
Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.
17x>−13+4x+47
(a)
Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.
23x−39≤6x−78
Use <= for "less than or equal to".
(a)
Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.
23x≤−39+6x−78
Use <= for "less than or equal to".
(a)
Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.
23x−39+6x≤−78
Use <= for "less than or equal to".
(a)
Solve. Round to the nearest hundredth, if necessary. Use <= for "less than or equal to". Indicate "identity" or "no solution" if applicable.
103≥8−7x
(a)
Solve. Round to the nearest hundredth, if necessary. Use <= for "less than or equal to". Indicate "identity" or "no solution" if applicable.
−103x≥98−7x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
73(5x+9)=81
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
73x+9=81
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
37(6x+9)=14x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
25(4x−7)=10x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
25x−7=10x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
35(2x+13)=700
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
35(2x+42)=70
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
35x+42=70
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
35x+211=40
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
35x+211=5(3x+1011)
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
35x+211=40x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
54x+57=1013
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
54x+27=1013x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
5x+13=52
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
7x−31=89
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
32=11+3x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
92=17+11x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
43x−32=35
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
43x−2+37x=1237x−2
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
43x−2+37x=−2
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
73=35x−11
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
7x3=513
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
7x3⋅513
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
7x3÷513
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
911=17x7
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
911⋅17x7
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction/
911÷17x7
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
73=5x13
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction and use the / button for division.
73⋅5x13
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
73÷5x13
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
3x−517=4x11
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction and use the / button for division.
3x−517=411
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
3x+517=4x11
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
4x−713=5x11
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
4x−713=511
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
4x13=511
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
4x13⋅511
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
4x13÷511
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction
5x7=13x+311
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction.
57=13x+311
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction.
57=13x11
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction.
57x+9=311
Do not type spaces.
(a)
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction.
57⋅13x11
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction.
57÷13x11
If it's an equation, solve and round to the nearest hundredth. If it's an expression, write as a fraction.
5x7÷1311
Solve. Round to the hundredth, if necessary. Indicate "identity" or "no solution" if applicable.
72x+73=38
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣2x+8∣+7=34
Do not type spaces.
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣2x+8∣+70=34
Do not type spaces.
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣3x+7∣=45
Do not type spaces.
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣3x+7∣+9=45
Do not type spaces.
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣3x+7∣+92=45
Do not type spaces.
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣7x+2∣=59
Do not type spaces.
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣x+12∣+93=13
Do not type spaces.
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣x+23∣+11=93
Do not type spaces.
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. Do not type spaces.
∣5x−7∣=3x
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. Do not type spaces.
∣5x+7∣=3x
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. Do not type spaces.
∣2x−5∣=x
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. Do not type spaces.
∣2x+5∣=x
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. Do not type spaces.
∣4x+1∣=x
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. Do not type spaces.
∣4x−5∣=x
(a)
∣2x+13∣=−47
Absolute Value Equation with No Solution
∣2x+13∣=47
Absolute Value Equation with Two Solutions
2x+13−47
Expression
2x+13=−47
Equation with one solution
Solve. Give the smallest of your two answers. Indicate "no solution" if applicable. Do not type spaces.
∣5x+2∣=x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
10≤2x+8<40
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
6x+11<2(3x+11)
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
6x+11≤2(6x+11)
(a)
Solve. Select all that apply.
∣6x−11∣−10≤2
x≤3.83
x≥−0.17
x≤−0.17
x≥−3.83
no solution
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
6x+22≤2(6x+11)
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
6x+23≤2(3x+11)
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
103≥8−7x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
23≥87−13x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
30>8+3x
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".
8≤2x+8<34
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to". 5(2x+3)≤10x+7
(a)
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to". 5(10x+3)≤10x+7
(a)
Solve. Select all that apply.
5+∣x−3∣≤7
x≤5
x≥1
x≤1
x≥−5
no solution
Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to". 5(2x−3)≤10x+7
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣2x−8∣+7=34
x= (a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣2x+8∣+70=34
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣3x−7∣−10=−5
x= (a)
Solve. Round to the nearest hundredth. Give the smallest of the two answers. Indicate "no solution" if applicable.
∣3x+7∣+9=45
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable.
∣3x+7∣+92=45
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. ∣7x+2∣=59
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. ∣x+12∣+93=13
(a)
Solve. Round to the nearest hundredth. Give your smallest of the two answers. Indicate "no solution" if applicable. ∣x+23∣+11=93
(a)
Solve
∣5x+2∣+10=22
x=2 or x=-2.8
x=2 or x=-6.8
no solution
x=-2 or x=-6
x=2 or x=-2
Solve. Round to the hundredth, if necessary. Indicate "identity" or "no solution", if applicable. Do not type spaces.
73x=19−32x
(a)
Solve. Round to the hundredth, if necessary. Indicate "identity" or "no solution", if applicable. Do not type spaces.
8x−311=34x
(a)
Use the slope formula to find the slope between (-3, 5) and (-3, 2)
(a)
Use the slope formula to find the slope between the points (2, 4) and (-1, 4)
(a)
Use the slope formula to find the slope between the points (1, 9) and (1, 5)
(a)
Use the slope formula to find the slope between the points (4, 1) and (-2, 1)
(a)
Use the slope formula to find the slope between the points (4, 1) and (-2, 5)
(a)
Use the slope formula to find the slope between the points (5, 2) and (-3, 4)
(a)
What is the slope of h(x)?
(a)
What is the slope of p(x)?
(a)
What is the slope of g(x)?
(a)
Which functions have a negative slope?
f(x)
g(x)
h(x)
p(x)
What is the slope of the given line?
m=−23
m=23
m=32
m=−32
m=−2−3
What is the slope of f(x)?
25
52
−52
−25
−2−5
Which function(s) have a positive slope?
f(x)
g(x)
h(x)
j(x)
What is the slope of h(x)?
−32
32
−23
23
−3−2
Use the slope formula to find the slope between (3, 5) and (-1, -2). Use the / button for division.
(a)
Use the slope formula to find the slope between (1, 5) and (-2, 1). Use the / button for division.
(a)
Use the slope formula to find the slope between (0, -2) and (-4, 1). Use the / button for division.
(a)
Which function(s) have a negative slope?
f(x)
g(x)
h(x)
j(x)
What is the slope of the given line?
m=−52
m=−25
m=52
m=25
m=−5−2
What is the equation of f(x) in slope intercept form? Write your answer using function notation.
(a)
What is the equation of p(x) in slope intercept form? Write your answer using function notation.
(a)
What is the equation of g(x) in slope intercept form? Write your answer using function notation.
(a)
Write the equation of f(x) in slope intercept form. Write in function notation.
(a)
Write the equation of g(x) in slope intercept form. Write in function notation.
(a)
What is the equation of h(x) in slope intercept form? Write your answer using function notation.
(a)
Which is the equation for f(x)?
f(x)=51x+4
f(x)=5x+4
f(x)=5−1x+4
f(x)=−5x+4
Given the equation, which statement is true?
m=−43 and b=2
m=−3 and b=−4
m=43 and b=2
m=4 and b=−3
m=3 and b=x
Identify the slope of the equation
y=−x−3
0
1
-1
-3
Write the equation of f(x) in slope intercept form. Use function notation.
(a)
What is the equation of g(x) in slope intercept form? Use function notation.
(a)
What is the equation of f(x) in slope intercept form? Use function notation.
(a)
What is the equation of Q(x) in slope intercept form? Use function notation.
(a)
What is the equation of p(x) in slope intercept form? Use function notation.
(a)
Write in slope intercept form
5x−3y=−9
Find the equation of the line in slope-intercept form passing through the points (2, 5) and (4, 9).
Write the equation of the line in slope-intercept form that goes through the points:
(9, 15) and (-3, -1)
Given the points (-2, 6) and (2, 8), write the equation of the line in slope-intercept form.
Given two points (-7, -1) and (7, 3), write the equation of the line in slope-intercept form.
Given Points: (2, 5) and (4, 11), write the equation of the line through the points in slope-intercept form.
Given Points: (2, 6) and (-2, 4), write the equation of the line through the points in slope-intercept form.
Convert to slope-intercept form.
6x+4y=12
Convert to slope-intercept form.
2x−4y=8
Convert to slope-intercept form.
6x−3y=−12
Convert to slope-intercept form.
8x+6y=24
Give the equation of the line in slope-intercept form that goes through the points (2,3) and (4,7)
y= (a) x (b)
Give the equation of the line in slope-intercept form that goes through the points (-1,5) and (3,-1)
y= (a) x (b)
−23
Write the equation of the line in point slope form with m=3 and through the point (−1,7)
y−7=3(x+1)
y−1=3(x+7)
y+1=3(x−7)
y+7=3(x−1)
Select the equation of a line in point-slope form with a slope of 2
that passes through the point (8,−6)
y+6=2(x−8)
y−6=2(x+8)
y−8=2(x+6)
y+8=2(x−6)
The line with the equation
y−2=4(x+8) ,
contains the point
(−8,2)
(8,2)
(8,−2)
(−2,8)
What is the point-slope form equation of the graph given? (use blue point in equation)
What is the point slope form equation for the given line? (Use blue point in the equation)
y+2=−51(x−3)
y−2=−51(x+3)
y+3=−51(x−2)
y−3=−51(x+2)
Write the equation of the line through the point (-3,6) with a slope of -5 in point-slope form.
Write the equation of the line through the point (3, -4) with a slope of 6 in point-slope form.
Convert to standard form. The A coefficient must be positive.
y=−73x+5
Convert to standard form. The A coefficient must be positive.
y=43x−2
Match the following
Slope Intercept Form
y=mx+b
Point Slope Form
y−y1=m(x−x1)
Standard Form
Ax+By=C
Vertical Line
x= a number
Horizontal Line
y=a number
Which is an equation of a line in point-slope form that goes through the points (4, 1) and (-2, 5)
y−5=−32(x+2)
y+5=−32(x−2)
y−2=−32(x+5)
y+2=−32(x−5)
Write the equation of the line in point-slope form that goes through the points (-5,-1) and (-7,3). Do not type spaces in your answer.
(a)
Write the equation of the line in slope-intercept form that goes through the points (-5,-1) and (-7,3). Do not type spaces in your answer.
Given Points: (2, 5) and (4, 11), write the equation of the line through the points in slope-intercept form.
Write the equation of the line in point-slope form with m=43 and through the point (-8, 1).
Write the equation of the line in slope-intercept form with m=43 and through the point (-8, 1).
Write the equation of the line in point-slope form that has m=21 and goes through the point (6,4)
Write the equation of the line in slope-intercept form that has m=21 and goes through the point (6,4)
