Solving Equations
Solve; 7x-4 = 3x +12
x=4
Which has infinitely many solutions?
A. 4x+6=2(2x+3)
B. 3x+5=2x−1
C. 2(x+4)=2x+10
D. 5x−7=5x+2
A. 4x+6=2(2x+3)
A gym charges $50 sign-up fee plus $25 per month. Write inequality for cost ≤ $200. How many months max?
6
Solve: 3x−7<2x+5
x<12
Which property justifies: x+0=x
Answer: B. Identity
x=2
Which has no solution?
A. 6x−3=2(3x−2)
B. 4x+8=4(x+3
C. 2x+5=2x+9
D. 5x=5x
C. 2x+5=2x+9
A rectangle has length = 4w. If perimeter ≥ 60, what inequality represents possible widths?
w≥6
Solve: −2x+3≥7
x≤−2
Which property justifies: 2(3x+4)=6x+8
Answer: C. Distributive
Solve for y: 4y+8= 2(2y+6)
Solve; 3/4x+6 =1/4x +10
X=8
You buy 3 shirts at the same price plus $12 shipping. Total ≤ $75. What’s the max price per shirt?
$21
Solve: x−4/3 ≤ 2
x≤10
Step shown: 5x−7=18→. 5x=25
What property used?
Answer: A. Addition property of equality
Which equation is solved for p?
3p-7=q
q-7/3
For what value of k does k(x+4)=2x+8k have infinitely many solutions?
K=2
A taxi charges $3 plus $2 per mile. Write inequality for rides costing at least $25. How many miles?
x≥ 11 miles
Solve: −5x+10>0
x<2
Step shown: 3x=12→ x=4
What property used?
Answer: A. Division property of equality