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Word problems
Substitution
Graphing
Elimination
Inequalities
100
Jenny has 83 coins in nickles and dimes. She has total of $6.95. How many of each coin does she have?
What is 56 dimes, 27 nickles?
100
Solve the following systems by substitution: x + y = -1 2x + y = 3
What is (4, -5)?
100
Graph the following equations: 8/5y= 2/5x + 1 2/5y= 1/10x + 1/4
What is infinite solutions?
100
Solve the following equations by elimination: x + y = 1 x - 2y = 2
What is (1 1/3, -1/3)?
100
Find the solution set to the following inequalities: y < 3x + 6 y > -1/2x + 1
What is (estimating) the first quadrant.
200
How many ounces of a 25% acid solution should be mixed with a 50% solution to produce 100 ounces of a 45% acid solution?
What is 20 ounces of a 25% solution, 80 ounces of a 50% solution?
200
Solve the following equations by substitution: 4x + 4y = 1 -x = 2y
What is (0.5, -0.25)?
200
Graph and estimate the solution to the following equations: 5x-y = 3 10x = y
What is (-0.6, -6)?
200
Solve the following equations by elimination: 4x - y = 4 x + 2y = 3
What is (1 2/9, 8/9)?
200
Find the solution set to the following inequalities: y > 3x + 6 y < -1/2x + 1
What is (estimation) half 2nd and 3rd quadrant.
300
A plane leaves Chicago and heads for Columbus, which is 300 miles away. The plane, flying with the wind, takes 40 minutes. The plane returns to Chicago, traveling against the wind, in 45 minutes. Find the rate of the wind and the rate of the plane with no wind
What is wind:25 miles per hour, plane: 425 miles per hour?
300
Solve the following equations by substitution: 2x - 3y = 5 x - 5y = 0
What is (3 4/7, 5/7)?
300
Graph the following equations: x=y 3x + 6y = 6
What is (2/3, 2/3)?
300
Solve the following equations by elimination: 2x + 3y = 8 3x + 2y = 17
What is (7, -2)?
300
Find the solution set to the following inequalities: y + 2 < x 2y - 3 > 2x
What is no solution.
400
A two-digit number is equal to 7 times the units digit. If 18 us added to the number, its digits are reversed. Find the original two-digit number?
What is 35?
400
Solve the following equations by substitution: y - 4x = 11 2y + x = 6
What is (-1 7/9, 3 8/9)?
400
Graph the following equations: 0.2m - 0.3n = 0 0.4m - 0.2n = 0.2
What is (0.75, 0.5)?
400
Solve the following equations by elimination: 4x + y = 5 -4x + 3/5y = 5
What is (0.25, 4)?
400
Find the solution set to the following inequalities: 2y + x < 4 3x - y > 6
What is (estimation) most of 4th quadrant.
500
Tia is 25 years younger than her father. The sum of their ages is 75. How old is each now?
What is tia is 25, her father is 50
500
Solve the following equations by substitution: 5 = 2y + x x = 20y
What is (4 6/11, 5/22)?
500
Graph the following using your calculator: 3a + 7b = 5 3b = -7 - 2a
What is (-12.8, 6.2)?
500
Solve the following equations by elimination: 3x - 8y = 4 6x = 42 + 16y
What is no solutions.
500
Find the solution set to the following inequalities: y < -1/2x - 1 y > x + 3
What is (estimation) parts of 2nd and 3rd quadrant.