Algebra 1 - Assignment - More Than Two Unknowns

The greater of two consecutive integers is 7 greater than twice the smaller. Find the integers.

-5, -6

"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?" If J represents John's age, then which of the following equations could be used to solve the problem?

J + 15 = 3(J - 1)

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?

n; n - 4; 4n

k+1, k+2, k+3

will yield consecutive integers.

2k+9, 2k+11, 2k+13

will yield consecutive odd integers.

Harvey plans to use 5 ft of shelving for four shelves whose lengths are to be a series of consecutive even numbers. How many inches long should each shelf be? If x represents the length of the shortest shelf, which expression would represent the length of the longest shelf?

x+6

A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1,000 more than the daughter. How much did each receive? If x is the amount the wife received, then which of the following expressions represents the amount received by the son?

x/2 + 1,000

Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week?

104 boxes the first week. 109 boxes the second week. 218 boxes the third week.

Solve this problem on paper using all four steps. Enter each answer in numerical order. Find four consecutive integers whose sum is 114.

27,28,29,30

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?

2x + x + 4 = 25

Separate 846 into 3 parts so that the second part is twice the first part and the third part is triple the second part. Which of the following equations could be used to solve the problem?

846 = x + 2x + 6x

Solve this problem on paper using all four steps. Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

Julie weighs 35 pounds. Ted weighs 70 pounds. Mike weighs 105 pounds.