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 + 10 + 6x - y - 12 + 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) https://www.usatestprep.com/modules/quiz_factory/qf.php?testid=46 1/
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) https://www.usatestprep.com/modules/quiz_factory/qf.php?testid=46 2/
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. 4. 3.6 0.6 1.1 A) 28.1 C) 2.9 B) 32.4 D) 28.1 2.9 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(1.1 6.6) A) 12.1 C) 12.1 B) 9.02 D) 9.02 12.1 Order of operations or PEMDAS (Parentheses, Exponentiation, Multiplication/Division, Addition/Subtraction) rule is applied to evaluate a numerical expression. https://www.usatestprep.com/modules/quiz_factory/qf.php?testid=46 3/
8) Variance of Average Global Temperature Year 198 1964 196 1978 2002 Difference from Base 0.10 C -0.17 C -0.10 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) -0.17 C, -0.10 C, 0.10 C, 0.4 C, 1/0 C C) -0.10 C, -0.17 C, 0.10 C, 1/0 C, 0.4 C B) -0.17 C, -0.10 C, 1/0 C, 0.10 C, 0.4 C D) 0.10 C, -0.17 C, -0.10 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 -0.17 C, -0.10 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 2 + 27 = 67. To solve, subtract 27 from both sides: x 2 = 40. Now, multiply by 2. Coleman's test grade is 80. 10) 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 (77 + 9 + 84 + 69 + x) 82 1 (32 + x) 82 32 + x 410 x 8 https://www.usatestprep.com/modules/quiz_factory/qf.php?testid=46 4/
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 -38. 12) Solve for x. x + 2 1 4 = 4 3 4 A) 1 3 4 C) 2 1 2 B) 2 1 4 D) 2 3 4 2 1 2 x + 2 1 4 = 4 3 4 x = 4 3 4 2 1 4 x = 4 3 4 2 1 4 x = 2 2 4 x = 2 1 2 13) Solve for x..6x = 39.76 A) 6.8 C) 7.6 B) 7.1 D) 7.9 7.1.6x = 39.76 x = 39.76.6 x = 7.1 https://www.usatestprep.com/modules/quiz_factory/qf.php?testid=46 /