WorksheetsUnit 4 Review - Systems of Equations and Inequalities
Total questions: 20
Worksheet time: 34mins
Solve the following system of equations by graphing:
(4, -4)
(-4, 4)
no solutions
(0, 0)
At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?
t: # of tacos
m: # of glasses of milk
t: Cost of each taco
m: Cost of each glass of milk
t: total cost
m: # of food items
t: Cost of each glass of milk
m: Cost of each taco
2x + 4y = 450
2x + 4y = 315
3x + 4y = 450
What is the solution to the system of equations?
(-1, -3)
(3, 1)
(1, 3)
(-3, -1)
What is the solution to the system of equations?
(2, -2)
(2, 2)
No Solution
(-2, -2)
What is the solution to the system of equations?
(-3, 1)
(1, -3)
(3, -1)
(-1, 3)
Is (-2, 0) a solution to the system?
Solution
Not a solution
y < x + 4
y ≥ x + 4
y ≥ x + 4
y ≥ x + 3
When graphed, the line will be...
5 ≥ x
Solid
Dashed
Zig-Zag
x+y=120
4x+3y=120
3x+3y=120
6xy=120
Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
x + y ≥ 6
32x + 20y ≤ 150
x + y ≥ 632
x + 20y ≥ 150
x + y ≤ 6
32x + 20y ≤ 150
x + y ≤ 6
32x + 20y ≥ 150
Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y ≤ 40
100x + 2y > 3
x + y ≤ 40
100x + 40y > 100
3x + 2y ≤ 40
3x + 2y > 100
x + y ≤ 40
