Variables & Expressions Review

Ace your algebra! Review algebraic expressions, combining terms, and distributive property.

Vocabulary Match the word with the correct definition. Subsitute To REPLACE a variable with a number. Constant A quantity that does NOT change. Variable A _ takes the place of an unknown quantity in an expression or equation. Coefficient A NUMBER MULTIPLIED by a variable in an algebraic expression. Evaluate To solve or find the value. Expression A MATH PHRASE made up of variables, constants and operations. Term Each individual part of an expression separated by addition or subtraction signs. Like Terms Parts of an expression that have the same variable and exponent, or parts that don't have a variable. Fill in the blanks with the appropriate words. Word bank: constant, term, coefficient,variable term coefficient variable constant Vocabulary Match the word to the corresponding example. expression constant variable coefficient like terms Choose the expression that matches the verbal phrase: 3 less than the product of 8 and a number 3 - 8n 8n - 3 3 - 8 3(8) - n Choose the expression that matches the verbal phrase: 5 times the sum of a number and 7 5 + 7x 5 + 7 5(x + 7) 5x + 7 Choose the expression that matches the verbal phrase. 8 more than the quotient of a number and 6 8 + y 8 + 6y 8 + 6 8(y + 6) Choose the expression that matches the verbal phrase. Twice the difference of a number and 4 2(m - 4) 2m - 4 2 - 4m m - 4(2) Distributive Property Match the expression on the left with the correct simplified expression after using the distributive property on the right. 4(n+3) 4n + 12 2(n-4) 2n - 8 -2(n-4) -2n + 8 2(2n -6) 4n - 12 -3(-2n - 5) 6n + 15 Simplify expressions Simplify each expression by combining like terms. Type your answer in the box on the right. Do not put spaces between the terms and the addition or subtraction signs. Put the term with the variable 1st. 5y - 8 + 6y 11y-8 2m -11 + 4m -2 6m-13 12 + 7t -8 7t+4 5a - 6 - 2a + 14 3a+8 7(n -2) + 14 7n 2(x - 4) + 3x - 9 5x-17 -3(r + 6) - 2(r - 7) -5r-4 Adding Expressions Add the expressions together. Type your answers in the box on the right. Put the variable term 1st. Do not put spaces between the terms and the addition or subtraction signs. (5x -3) + (2x-8) 7x-11 (7n+8) + (-2n +7) 5n+15 (3s -9) + (3s + 5) 6s-4 (6m-2) + (-8m+ 8) -2m+6 (-4r - 3) + (-6r -12) -10r-15 (5y+3) + (2y-8) + (4y+10) 11y+5 (-5a + 6) + (-3a - 10) + (4a - 12) -4a-16