Vocabulary
I am a symbol, usually a letter like "x", that represents an unknown number or value in an equation
What is A variable?
Solve for x. 3x = 9
What is ... x = 3
Write the equation & solve for n. Four more than twice a number is 8.
What is .... 2n + 4 = 8
n = 2
I am a mathematical statement that shows two expressions are equal, using an "equals" sign to connect them
What is an Equation?
Solve for p. -20 = -4p
What is .... p = 5
Solve for n. 5 = 2n - 7
What is .... n = 6
I am pairs of mathematical operations that "undo" each other, meaning one operation reverses the effect of the other
What are inverse operations?
Solve for a. a/6 = -2
What is ... a = -12
Solve for n. 7 + n/3 = 10
What is ... n = 9
Give the error and the correct solution 2/3x=6
Student multiplied both sides by 2/3 and got a final answer of x=4
What is should have multiplied by 3/2 on both sides and x = 9
When a value on one side of an equation or scale is equal to the other side
What is Balance?
Solve for y + 4 = 3
What is .... y = -1
Simplify the following equation. 2x = 1/2
What is ... x = 1/4
Solve for a. -24 = 6a - 15
What is .... a = -3/2
Solve the two step equation. "Katalina has a collection of 26 mugs. When packing to move, she put the same number of mugs in each of the first 4 boxes and 2 mugs in the last box. Solve 4x + 2 = 26 to find the number of mugs in each of the first four boxes."
What is ... 4x + 2 = 26
x = 6 mugs
I am the act of isolating the variable by performing inverse operations, typically by adding or subtracting constants to one side, then multiplying or dividing to get the variable completely alone
What is Solving a Two Step Equation?
Solve for 3 - y = 8
What is .... y = -5
Solve for x. 2/3x = -8
What is ..... x = -12
Solve for c. -27 = 2c - 7
What is .... c = -10
Solve each problem by writing and solving an equation. " At the market, Francisco buys a bunch of bananas for $0.35 per pound and a frozen pizza for $4.99. The total for his purchase was $6.04, without tax. How many pounds of bananas did Francisco buy?"
What is .... 0.35x + 4.99 = 6.04
x = 3 lbs (pounds)