3 (x + 5) = 3x + 5
how many solutions does it have
The equation has one solution.
10 - x = 25
how many solutions
The equation has no solution.
2 (x + 4) = 2x + 5 + 3
how many solutions
The equation has no solution.
A student wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. The student only has $37 to spend.
Let n represent the number of notebooks that he buys.
Which inequality describes this scenario?
A. 24n + 2 ≥ 37
B. 37 < 2n + 24
C. 37 ≥ 2n + 24
D. 37 > 2n + 24
C. 37 ≥ 2n + 24
solve for b in the following equation: A = 1/2(a + b)
To solve for b in the equation A = (1/2)(a + b), we can start by multiplying both sides of the equation by 2 to remove the fraction:
2A = a + b
Next, we can isolate b by subtracting a from both sides:
2A - a = b
Therefore, b = 2A - a.
A student solves the following equation:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: (2x+3x)−6=19
Step 3: 5x−6=19
Step 4: 5x−6+6=19+6
Step 5: 5x=25
Step 6: x=5
What property justifies going from step 3 to step 4?
A. Commutative Property of Addition
B. Combine Like Terms
C. Addition Property of Equality
D. Distributive Property
E. Substitution Property