Rational Number Word Problems
Writing Equations & Inequalities
Solving Equations & Inequalities
Triangle Problems
Angle Relationship Problems
100
Kendra has a black walnut tree in her yard. To make extra money this fall, she gathers the walnuts off the ground and sells them for $0.45 per pound. If she gathers 53.4 pounds, how much money does she make?
Kendra makes $24.03
100
Ryan does 100 push-ups every week. He does 22 pushups on Monday, then an equal number of pushups each of the other 6 days in the week. Write an equation to represent p, the number of push-ups Ryan does on each of the 6 days.
100 = 22 + 6x
100
Solve the equation:
90=5x+15
x=15
100
How many congruent angles are in:
- a scalene triangle
- an isosceles triangle
- an equilateral triangle
Scalene triangles have no congruent angles.
Isosceles triangles have 2 congruent angles.
Equilateral triangles have 3 congruent angles.
100
What is the relationship between Angle X and Angle Z?
Angle X and Angle Z are vertical angles
200
A hot air balloon is flying 112 feet above the ground. The hot air balloon sinks 16 feet then flies 187 feet higher. At what height is the hot air balloon flying now?
The hot air balloon is flying 283 feet above the ground.
200
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid at least $175 in all. Which inequality can you use to find how much money, x, Victor paid for each hour of group snowboarding lessons?
35+5x ≥ 175
200
Solve the inequality:
1.5x+30>45
x>10
200
Combine like terms to simplify the equation:
(4x+11) + (124-3x) + 2x = 180
3x + 135 = 180
200
Angles Q and Y are vertical angles. If Angle Q is 104 degrees, what is the measure of Angle Y?
The measure of Angle Y is 104 degrees
300
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze. How much honey does Ben have left?
Ben has 1 1/3 cups of honey left
300
Penelope went to Barnes and Noble with a budget of $65. She wants to spend $47.50 of her budget on books, and the rest of her budget on book marks for $2.50 each. Write an inequality to determine b, the number of bookmarks Penelope could buy without going over her budget.
65 ≥ 47.5 + 2.5b
300
Solve the equation:
x/2 -15=37
x=104
300
Triangle LMN is scalene:
- The measure of angle L is 3x
- The measure of angle M is (4x+3)
- The measure of Angle N is (5x-21)
What is the value of x?
The value of x is 16.5 degrees
300
Angle A and Angle B are adjacent to each other. What two kind of angle relationships could they have?
Angles A and B could be complementary or supplementary angle pairs
400
Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2.5 cups of sugar for the cake and 1.25 cups of sugar for the vanilla glaze. How many 0.25 cups of sugar does he need?
Ms. Smith needs 15 cups of sugar.
400
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305. Which equation can you use to find f, the cost of each favor?
8f+265=305
400
Solve the inequality:
650>75-4x
-143.75<x
400
The two base angles of an isosceles triangle each measure (5z+19) degrees. The third angle of the triangle measures 122 degrees. Write and solve an equation to determine the value of z.
The equation is: (5z+19) + (5z+19) + 122 = 180
Then, simplify to 10z + 160 = 180
z = 2
400
Angle Q and Angle R are supplementary angles.
- Angle Q is x degrees
- Angle R is twice the measure of Angle Q
What is the measure of Angle R?
Angle R is 120 degrees.
500
A scuba diver begins at a depth of -50.5 feet. After descending for 15 minutes at a rate of -2.5 feet per minute, what is the diver's final depth in feet?
The scuba diver's final depth is -88 feet, or 88 feet below sea level.
500
Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all.
6c-55=455
500
Solve the inequality:
(180-x) + (90-x) > 210
x<30
500
Triangle DEF is a right triangle.
- The measure of angle D is (7x-1)
- Angle E is a right angle
- The measure of angle F is (2x-17)
Determine the measure of angle D and angle F.
The measure of angle D is 83 degrees.
The measure of angle F is 7 degrees.
500
Angle N and Angle P are complementary angles.
- Angle N is 1.5x+30
- Angle P is x-15
What is the value of x?
BONUS 300 POINTS: What is the measure of Angle P?
The value of x is 30 degrees.
BONUS 300 POINTS: The measure of Angle P is 15 degrees.