Linear Equations
k-problems
Functions
Systems of Equations
Word Problems
100
In Slope-Intercept Form, write the equation of the line with a slope of 4 that passes through (2,10).
y = 4x + 2
100
Find a value of k so that (3,1) satisfies the equation x + 2y = k.
k = 5
100
If f(x) = 4x + 7, find f(-3)
f(-3) = -5
100
Solve the following System of Equations: x + y = -2 and 2x - y = 11
(3,-5)
100
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
200
In Slope-Intercept Form, write the equation of the line that passes through (0,6) and (2,9).
y = 3/2 x + 6
200
Find a value of k so that the line containing (4,3) and (k,6) has a slope of 6.
k = 4.5
200
If f(x) = 2x + 8, find the value of x so that f(x) = 9
x = 0.5
200
x + 3x = -8
x = -2
200
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
300
In Slope-Intercept Form, write the equation of the line that passes through (2,1) and (-3,-1).
y = 2/5 x + 1/5
300
Find a value of k so that the line 2x + ky = 9 has a y-intercept of 1.
k = 9
300
If f(x) = 2x - 7 and g(x) = (x+2)(x-3), find f(g(1)).
f(g(1)) = -19
300
4(y - 2) + y = -13
y = -1
300
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?
a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
400
In Slope-Intercept Form, write the equation of the line that is parallel to the line y = 3x +8 and passes through (-2,6).
y = 3x + 12
400
Find a value of k so that y = 3x + 6 is perpendicular to the line 5x - ky = 10.
k = -15
400
Identify the domain of f(x) = 3/(2x+5).
All Real Numbers except -5/2.
400
-6(m + 1) + 18 = 24
m = -2
400
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87
500
In Slope-Intercept Form, write the equation of the line perpendicular to the line y = 1/2 x + 8 that passes through (-8, 12).
y = -2x - 4
500
Find a value of k so that (k+2)x + (3k+1)y = 8 is perpendicular to the line x = 8.
k = -2
500
Identify the domain of g(x) = 4/sqrt(3x-7)
x > 7/3
500
7k - 8 + 2(k + 12) = 52
k = 4
500
When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.
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