Name: ______________________ Math 7 EOG Review Warm-Up Review Problems The isosceles triangle below has a perimeter of 6x + 7. If the base is 5, what is the length of each of the unknown sides? Evaluate the expression: ac 2b Day 1 where a = -5, b = 6, and c = -12 A. B. C. D. 3x + 1 6x + 2 3x + 2 x+2 Find the solution set for the inequality. If SRQ is 110°, what is the Day 2 measure of SRP ? Day 3 Stacy throws a dart at the board. What is the probability it lands in the circle? A. B. C. D. 3% 31% 78.5% 90.2% What is the value of the following expression? 1 4 5 4 8 8 5 6 Day 4 Mr. Johnson borrowed $55 from a friend to purchase a gift for his wife. The following week, Mr. Johnson gave his friend back $28. Which expression shows how much money Mr. Johnson still needs to pay his friend? Evaluate the expression: ac 2b where a = -5, b = 6, and c = -12 A. -$28 - $55 = -$27 B. -$55 + $28 = -$27 C. $28 –(-$55) = -$27 D. -$55 + $-28 = -$27 Yosef purchased a new sweater. The total price of the sweater, including the 8% sales tax, was $16.74. What was the retail cost of the sweater (before tax)? Day 5 The rectangle below has a length of 7 centimeters and a width of 3 centimeters. Three centimeters are subtracted from the length, and c centimeters are added to the width. The area of the new rectangle is 32 square centimeters. What is the value of c? Day 6 N and M are vertical angles. If N = 63°, and M is represented by the expression 2x – 5, what is the value of x? Day 7 Navya has 10½ feet of craft wire that she uses to make earrings. If each pair of earring requires ¾ foot of wire, how many pairs of earrings is Navya able to make? The perimeter of the quadrilateral WXYZ is 82 inches. What is the length of segment XY? Evaluate the expression: y – x – 3z where x = 10, y = -7, and z = -5 The ladders shown below are standing against the wall at the same angle. How high up the wall does the longer ladder go? (All measurements are in feet.) Yasmine tossed a coin 20 times. It lands on heads 14 times and tails on 6 times. What is the relative frequency of landing on tails? A. 6% B. 14% C. 30% D. 70% What is the coefficient of m when the expression ¼(8m – 4) – 3m is simplified? Pedro went to a deli for lunch. For the lunch special, he could purchase one sandwich, one drink, and one dessert. How many combinations could Pedro possibly select? Sandwich Drink Dessert Ham Coke Cake Turkey Water Pie Roast Beef Sweet Tea There are three flavors of lollipops in the candy bag, watermelon, apple, and cherry. If the probability of getting a watermelon was ¼ and the probability of getting an Which side lengths would form a triangle? A. 12 feet, 14 feet, 1 foot B. 12 feet, 4 feet, 11 feet C. 5 inches, 6 inches, 12 inches D. 3 inches, 10 inches, 15 inches Given the data set below, what is the mean absolute deviation? 58 72 88 66 40 80 60 48 Day 11 Day 10 Day 9 Day 8 What is the value of x? 2 apple was , what is the probability (in 5 fraction form) of getting a cherry? Day 15 Day 14 Day 13 Day 12 What is the volume of the triangular prism? What is the coefficient of k when the expression -2(4k – 9) – 11k + 8 is simplified? While visiting Chicago, Jenny used a taxi for transportation. The taxis charged her $.95 per city block. If the taxis charged her a total of $25.65 for transportation, how many total city blocks did she travel? A. 24.7 blocks B. 25 blocks C. 26 blocks D. 27 blocks Jennifer’s new bike costs $96. Her parents paid 40% of the cost and Jennifer paid the rest. How much did Jennifer pay? Consider these inequalities. A 5-color spinner is used in an experiment, and the frequency of landing on each different color is recorded. I. II. III. -5k > -30 -2k + 9 < 0 3k > k + 14 For which of these inequalities is 7 a possible solution? A. I only B. II only C. I and III D. II and III A square prism has a height of 16 inches and a base length of 7 inches. If the dimensions of the prism are tripled, what will be the ratio of the surface area of the original prism to the new prism? A. 1 : 3 B. 1 : 9 C. 1 : 27 D. 1 : 30 Red 14 Orange 8 Yellow 11 Green 5 Blue 12 What is the experimental probability (in decimal form) of spinning a red or a blue? These four cards are placed into a bag and two are drawn out by Danny. What is the probability (in fraction form) of pulling two cards out of the bag that have a sum more than 11?
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