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Tools of Algebra/Solving Linear Equations
Functions and Patterns
Analyzing Linear Equations
Solving Systems of Linear Equations
Solving Linear Equalities
100
Find the value of n in the equation. Name the property that is used: 4 + 0 = n
n = 4, identity property of addition
100
Determine whether the relation given is a function: {(3, 1), (2, 5), (4, 0), (3, -2)}.
No --> (3, 1), (3, -2)
100
Find the slope of the line that passes through the pair of points: (5, 8), (-3, 7)
1/8
100
Use substitution to solve the system of equations: y+2x=-1, y-4=-x
(-5, 9)
100
Solve the inequality. Write the solution set, and graph your solution: 9p<8p-18
{p|p<-18}
200
Write an algebraic expression for the verbal expression: 7 less a number y squared
7-y^2
200
If g(x) = x^2 - 4x + 1, find: g(3a) + 1
9a^2 - 12a + 2
200
Suppose y varies directly as x. Write a direction variation equation that relates x and y for y = 6 when x = 9. *hint: y=kx
y=(2/3)x
200
Use elimination with addition to solve the system: 5x -3y=12, -2x+3y=-3
(3, 1)
200
Solve the compound inequality. Write the solution set, and graph it: 3n+2>17 OR 3n+2<-1
{n|n<-1 or n>5}
300
If 4/5 of 3/4 = 2/5 of x/4, find the value of x.
6
300
Graph the equation: -3x = 5 - y
y = 3x + 5, slope = 3, y-intercept = 5
300
Write the point-slope form of an equation for a line that passes through (-3, 4) with slope -1/2
y-4=(-1/2)(x+3)
300
Use elimination with subtraction to solve the system: x+y=-10, x-y=-2
(-6, -4)
300
Solve the absolute value. Graph the solution set. |3x-4|>5
x>3, x<-1/3
400
State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent. Original: 12, new: 20
increase; 67%
400
Find the 150th term in the sequence: -10, -7, -4, -1, 2,...
437
400
Write the slope-intercept form of an equation that is perpendicular to the graph of 5x-3y=9 and passes through (5, 2)
y=(-3/5)x + 5
400
Use elimination with multiplication to solve the system: 3x+y=10, 4x-2y=10
(3, 1)
400
Graph the inequality: x-2y>4
y<(1/2)x-2
500
Solve the given equation for y: a(y+1)=b
y=(b-a)/a
500
The distance d in kilometers that sound waves travel through water is given by d=1.6t, where t is the time in seconds. Graph the equation. Estimate how far sound can travel through water in 7 seconds. *Hint: think about which one is the independent variable and dependent variable
(0, 0), (1, 1.6), (2, 3.2), (3, 4.8)......(7, 11.2) --> 11.2 km in 7 seconds
500
Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write an equation in point-slope form to find teh total distance y for any number of hours x. *Hint: think about which variable time normally represents.
y-18=3.5(x-5)
500
The Detroit Wayne County Airport and the Denver International Airport appeared in the top 20 rankings of busiest airports by number of passengers. The sum of their rankings was 29, and the difference was 9. If Denver was busier than Detroit, what were their rankings?
Denver: 10th, Detroit: 19th
500
Solve the system of inequalities by graphing:y<3x, x+2y>-18
y<3x, y>(-1/2)x-9