Algebraic Expressions (Translation)
Write an algebraic expression for "a number increased by 7."
Answer: x + 7
Evaluate 3x + 2 when x = 4
Answer: 14
Name the property: 5 + 0 = 5.
Answer: Additive Identity Property
Solve: x + 5 = 12.
Answer: x = 7
Translate and solve: "Twice a number plus 3 equals 11." Write the equation and solve
Translate "the product of 5 and a number" into an algebraic expression.
5x
Evaluate 2a − 5 when a = 6.
Answer: 7
Name the property: 3(x + 2) = 3x + 6.
Answer: Distributive Property
Solve: 3x = 15.
Answer: x = 5
Identify which property justifies moving parentheses in (x+2)+5=x+(2+5) and simplify the right side.
Write an algebraic expression for "twice a number decreased by 3."
Answer: 2x − 3
Evaluate x² + 3x when x = 2.
Answer: 10
Name the property: 7 + 4 = 4 + 7.
Answer: Commutative Property of Addition
Solve: 2x − 4 = 10.
Answer: x = 7
Translate: "Seven less than twice a number n equals 9." Write and solve the equation.
Equation: 2n−7=9
2n=16
n=8.
Translate "the quotient of a number and 4, plus 9" into an algebraic expression.
Answer: x/4 + 9
Evaluate (a + b)/2 when a = 8 and b = 6.
Answer: 7
Name the property: (2 × 3) × 5 = 2 × (3 × 5).
Answer: Associative Property of Multiplication
Solve: (x/3) + 2 = 8
Answer: x = 18
Evaluate the expression AFTER simplifying using a property:
4(2+p) for p=3.
Translate: "Five less than twice a number x." Then evaluate when x=8.
x=11
Evaluate 2x² − 3x + 1 when x = 3.
Answer: 10
Name the property: 8 × (1/8) = 1.
Answer: Multiplicative Inverse Property
Solve: 4x − 7 = 2x + 5
Answer: x = 6
Combined skills: Translate the sentence, WRITE and SOLVE: "Three more than the quotient of a number and 4 is 10." (Show steps.)
Equation: x/4+3=10.
Solve: x/4=7
x=28