# My Math Plan Assessment #1 Study Guide

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1 My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference. 6 ( 1) 4. Find the difference Multiply and simplify the radical expression. ( 5)( 5 ) 6. Multiply and simplify the radical expression. ( 7 9)( 7 + 5) 7. Perform the indicated operations and simplify Perform the indicated operations and simplify Simplify the expression. 50x Simplify the expression. 7x Solve the linear inequality. x + 5 < 11

2 1. Solve the linear inequality. x + 15 > 1 1. Solve the linear inequality. x Solve the linear inequality. x Find the LCM of the two terms. 64x 5 y, 4x 4 y z 16. Find the LCM of the two terms. 5x y 5 z 4, 19x y 4 z 17. Find the sum Add the mixed numbers and simplify the result Rationalize the denominator and simplify if possible Find the x- and y-intercepts and graph the linear equation. x 4y 4 = 0 1. Solve the proportion. 6 x = 8 1

3 . Identify the coordinates of points A and B.. Kara has five exam scores of 67, 74, 60, 85, and 87 in her biology class. What score does she need on the final exam to have a mean (average) grade of 7? Round your answer to two decimal places, if necessary. (All exams have a maximum of 100 points.) 4. The price of a computer is \$50. The sales tax is 7%. What is the total cost of the computer? 5. Let a and b be the lengths of the legs and let c be the length of the hypotenuse of a right triangle. Using the Pythagorean Theorem, find the length of the side not given. a = 5, b = 1 6. Find the missing rate, base, or amount. 40% of 59 is 7. Solve the following linear equation using equivalent equations to isolate the variable. Write your solution as a whole number. y 8 = 5 8. If the quotient of 495 and 5 is decreased by 97, what is the difference? 9. Evaluate the following polynomial at x = 6. 9x + x 8 0. Evaluate the following expression: 8 + (5) ( + ) 1. Find the following quotient. ( 4) Simplify the algebraic expression by combining the like (or similar) terms. a x 1 5x 4a + 7

5 45. Solve the following linear equation and simplify your answer. (y 6) = 5(4y ) Find the slope determined by the following pair of points. (, 7), (7, ) 47. Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates. (, ), (6, 5) 48. Perform the indicated operation by removing the parentheses and combining like terms. (6x 1) + (9x 14x 4) 49. Multiply the polynomials using the distributive property and combine like terms. (x + 4)(x ) 50. Multiply the polynomials using the distributive property and combine like terms. (x )(x + x + 4) 51. Factor the given polynomial by finding the greatest common monomial factor (or the negative of the greatest common monomial factor) and rewrite the expression. 14x 56xy 6x 5. Completely factor the trinomial, if possible. 4t + 5t Completely factor the trinomial, if possible. 6t + 41t 7t 54. Completely factor the polynomial, if possible. 5 81x 55. Divide the following and reduce the answer to its simplest terms Solve the following formula for the indicated variable. P = l + w; solve for w

6 57. The area of a trapezoid is 44 square meters. One base is meters long and the other is 8 meters long. Find the height of the trapezoid. A = 1 h(b + c) 58. Simplify the expression. Assume all variables represent positive numbers. 48x³y Multiply and reduce the product to lowest terms. 5a² 4b 8b³ 14a³ 60. Write the number in scientific notation. 681, Evaluate the following expression. ( 6) + 4² 6. Find the perimeter of a rectangle with a length of 4. centimeters and a width of.9 centimeters. 6. Find the area of a triangle with a base of 6 inches and a height of 9 inches. 64. Find the volume of a rectangular solid with a length of 5.1 feet, a width of.5 feet, and a height of feet. Round your answer to two decimal places. 65. Simplify the expression. x² x⁴ 66. Simplify the expression. 6y 8 y Simplify the expression. (4a )³

7 68. Simplify the expression. 5x 0 + y⁰ 69. Completely factor the polynomial, if possible. x 7y³ 70. Completely factor the polynomial, if possible. x + y + bx + by 71. Simplify the expression using positive exponents. ( x y ) 7. Find the GCF for the set of terms. 8c d 4, 14c³, 4cd³ 7. Find the difference. a If the product of 16 and 5 is increased by 4, what is the sum? 75. Perform the indicated operation by removing the parentheses and combining like terms. (4b b + b) ( b + b 5b) 76. Simplify the expression using the properties of exponents. (The answer should contain only positive exponents.) ( a b 1 b ) 77. Rationalize the denominator and simplify if possible. x5 9xy 78. The sum of two consecutive integers is 175. Find the two integers.

8 times the difference between a number and 5 is equal to 98. Find the number. 80. Evaluate the expression at x =, y =, and z = 4. 8x y z 81. The discount on a new refrigerator was \$5. This was a discount of 0%. What was the original price of the refrigerator? 8. Write an equation, in slope-intercept form, of the line through the given point P with the given characteristic. P( 5, 4); 5x 4y = 9 a. Parallel to the given line b. Perpendicular to the given line 8. Find the product of the binomial factors. (x )² 84. Factor the polynomial. If the polynomial does not factor, write not factorable. 5x A total of \$7000 is invested: part at 6% and the remainder at 10%. How much is invested at each rate if the annual interest is \$50? 86. Solve the following linear equation. 8 (y 1 ) = 1 8 (y + 1 ) 87. Two planes, which are 660 miles apart, fly toward each other. Their speeds differ by 65 mph. If they pass each other in 4 hours, what is the speed of each plane? 88. Find the following quotient. If the quotient is undefined, state undefined Your bank account indicates that you are overdrawn on your checking account by \$79. How much must you deposit to bring the checking account balance up to \$750?

9 90. Find the average of the following set of integers. 56, 8, 9, 84, Louis has to buy a calculator for \$49, graph paper for \$9, a textbook for \$117, and a notebook for \$6. If Louis has \$50, how much will he have left after his purchase? 9. Simplify the following absolute value expression Solve the linear equation using equivalent equations to isolate the variable. 7. = 1.6x Change the following mixed number to an improper fraction and reduce if possible Find the difference Find the difference. Write your answer in mixed number form Find of Solve the linear equation. 5 8 y = Write the following comparison as a ratio reduced to lowest terms. 18 quarters to 6 dollars 100. Change the following decimal to a fraction in lowest terms

10 Answer Key 1. x-int: ( 4 4, 0) y-int: (0, 8. x = 6, x 10. x x < 8 1. x < 9 1. x x x 5 y³z x³y 5 z⁴ x-int: (8, 0) y-int: (0, 6) A = (, ) B = (4, ) \$ c = y = x a + 6. x = x = % 4. \$111, y = 45. y = 46. m = y = 7 7 x x 14x x + 5x x x(9x + 8y + ) 5. (4t + 1)(t + 6) 5. t(6t 1)(t + 7) 54. (5 9x)(5 + 9x) w = P l 57. h = 8 m 58. 4xy x 5b² 59. a x cm 6. 7 in² ft³ 65. x y³ a (x y)(x + xy + 9y ) 70. (x + y)( + b) 71. y³ 8x³ 7. 14c 8 a 7. 4a b 4b + 6b 76. 4a 6 b 8 x xy² 77. y , \$ a. y = 5 41 x b. y = 4 5 x 8. 4x 1x not factorable 85. \$4500 at 6% ; \$500 at 10% 86. y = mph, 65 mph 88. undefined 89. \$ \$ x = y = to

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