Date: Student Name: Teacher Name: Romelle Loewy. Score: 1) Simplify: 9(a + b) + 4(3a + 2b) A) 13a 13b C) 21a + 2b B) 21a + 17b D) 38ab

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1 Grade 7 Mathematics EOG (GSE) Quiz Answer Key Expressions and Equations - (MGSE7.EE.1 ) Work With Expressions, (MGSE7.EE.2 ) Rewriting Expressions In Diff. Forms, (MGSE7.EE.3 ) Problems With Positive & Negative Numbers, (MGSE7.EE.4a ) Equations Of The Form px + q = r, (MGSE7.EE.4b ) Inequalities Of The Form px + q > r, (MGSE7.EE.4c) Solve Problems Student Name: Teacher Name: Romelle Loewy 1) Simplify: 9(a + b) + 4(3a + 2b) A) 13a 13b C) 21a + 2b B) 21a + 17b D) 38ab Date: Score: 21a + 17b 9(a + b) + 4(3a + 2b) 9a + 9b + 12a + 8b 21a + 17b 2) If x = and y = -4, evaluate this expression: (-2x + 10) - (-6x + y + 12) + (x + 8y - 16) A) - C) B) 0 D) 10 - (-2x + 10) - (-6x + y + 12) + (x + 8y - 16) Clear parentheses: -2x x - y x + 8y - 16 Combine like terms: x + 3y - 18 Substitute: () + 3(-4) -18-3) Factor the linear expression: 1x + 6 A) 2 B) - 2 C) 3(x + 2) D) (3x + 6) 1/

2 3(x + 2) is correct. Use the Distributive property: a(b+c)=ab+ac. First find the greatest common factor of 1 and 6; GCF = 3. Therefore, 1x + 6 = (3)(x) + (3)(2) = 3(x + 2) 2/

3 4) Which expression is NOT equivalent to the other three? A) 9 7n + 16n C) n 9 + 8n B) 9(n 9) D) 9n 9 9(n 9) 9(n 9) = 9n 81 The other three expressions are equivalent to 9n 9. ) A driveway is 60-feet long by 6-feet wide. The length and width of the driveway will each be increased by the same number of feet. The following expression represents the perimeter of the larger driveway: (x + 60) + (x + 6) + (x + 60) + (x + 6) Which expression is equivalent to the expression for the perimeter of the larger driveway? A) 2(x + 66) C) 4(x + 33) B) 4x + 33 D) 4(x + 132) 4(x + 33) (x + 60) + (x + 6) + (x + 60) + (x + 6) (4x + 132) 4(x + 33) 6) Evaluate the numerical expression A) 28.1 C) 2.9 B) 32.4 D) Order of operations or PEMDAS (Parentheses, Exponentiation, Multiplication/Division, Addition/Subtraction) rule is applied to evaluate a numerical expression. 7) Evaluate the numerical expression. 2.2( ) A) 12.1 C) 12.1 B) 9.02 D) Order of operations or PEMDAS (Parentheses, Exponentiation, Multiplication/Division, Addition/Subtraction) rule is applied to evaluate a numerical expression. 3/

4 8) Variance of Average Global Temperature Year Difference from Base 0.10 C C C 1/0 C 0.4 C Ms. Morgan's class studied the changes in average global temperature in math class as a part of their study of rational numbers. The table shows how each year varies from a base measure. Order the five years from coldest to warmest. A) C, C, 0.10 C, 0.4 C, 1/0 C C) C, C, 0.10 C, 1/0 C, 0.4 C B) C, C, 1/0 C, 0.10 C, 0.4 C D) 0.10 C, C, C, 0 C, 1/0 C Remember, as you travel to the left of zero on a number line, the value of the numbers gets smaller, even though the absolute value gets larger. The reverse is true as you travel to the right of zero. 1/0 = 0.02, therefore the correct order from least to greatest is C, C, 1/0 C, 0.10 C, 0.4 C. 9) If you take Coleman's test grade and divide by 2 and add 27, you get 67. Write and solve an equation to find Coleman's test grade. A) 20 C) 80 B) 47 D) 188 The equation is going to be x = 67. To solve, subtract 27 from both sides: x 2 = 40. Now, multiply by 2. Coleman's test grade is ) Amanda's first four test scores are 77, 9, 84, and 69. What does Amanda need to score on the next test to have at least an 82 average? A) 8 or greater C) greater than 8 B) 90 or greater D) greater than 92 8 or greater The phrase "at least" 82 means greater than or equal to 82. Let x = next test score Add scores and multiply by 1, which is the same as dividing by. 1 ( x) 82 1 (32 + x) x 410 x 8 4/

5 11) A number less 7 is greater than -4. How can the solutions for this inequality be described? Is -40 a solution? A) All numbers less than -38.; yes C) All numbers less than or equal to -38.; yes B) All numbers greater than -38.; no D) All numbers greater than or equal to -38.; no All numbers greater than -38.; no Translate the words into an inequality and solve: x - 7 > -4 x > -38 Any value of x that is greater than -38 will satisfy the inequality. However, -40 is not greater than ) Solve for x. x = A) C) B) D) x = x = x = x = x = ) Solve for x..6x = A) 6.8 C) 7.6 B) 7.1 D) x = x = x = /