Solving Equations
Solve x + 9 = 17
x = 8
A mathematical phrase containing numbers, variables, and operations bu tno equals sign is called this.
An expression.
Rewrite in equation form:
A number plus 8 equals 15.
x + 8 = 15
Solve abs(x) = 5
x = 5, -5
Write out what this inequality means:
x > 4
X is less than 4
x = 7
An expression.
Rewrite in equation form:
5 times a number is 40.
5x = 40
Solve abs(3x) = -5
No solution.
Write out what this inequality means:
x < 4
x is less than 4
Solve 3x + 4 = 19
x = 5
Is 3x - 2 = 10 an expression or an equation?
An equation.
Sarah has $12 and earns $8 per hour. Write an equation for the amount of money, m, she has after, h, hours.
m = 8h + 12
Solve abs(x-3) = 7
x = 10, -4
Write out what this inequality means:
x <= 15
x is less than or equal to 15
Solve
2(x + 6) - 4 = 18
x = 5
What symbol must an equation contain?
An equals sign.
A gym charges a $20 sign-up fee plus $15 per month. Write an equation for the total cost, c, after, m, months.
c = 15m + 20
Solve abs(2x+1) = 9.
Write an inequality from the word statement:
All values less than 4.
x < 4
Solve
4(2x-3)+5 = 25
x = 4
Explain the difference between an expression and an equation.
An expression represents a mathematical value but does not have an equal sign; an equation states that two expressions are equal.
A taxi charges $4 to start plus $2.50 per mile. If the total fare is $24, write an equation and determine how many miles were traveled.
4 + 2.5m = 24
m = 8 miles
Solve 3*abs(x-2) = 18
x = 8, -4
Write an inequality from the word statement:
At most 17
x <= 17