问答题
These exercises are designed to help you apply the mathematics concepts just covered. They are not in GRE format, but should help you to identify your areas of strength and weakness.
Linear Equations with One Variable
These questions will test your knowledge of linear equations involving one variable.
Solve the following equations.
问答题
3x-17=46. Solve for x.
【正确答案】
【答案解析】To solve this problem, first isolate the unknown number on one side. To do this, add 17 to both sides to get 3x=63. Next, divide both sides by 3 to isolate the x on the left side: x=21.
问答题
【正确答案】
【答案解析】To solve this problem, multiply both sides by 4 to get rid of the fraction and isolate the x on the left side: x=-24.
问答题
If x=15, then 4x- ______ =42
【正确答案】
【答案解析】You are given the value of x, and asked to calculate a missing number in the equation. Because x=15, then 4x=60. The equation is now 60-(some number)=42. The difference between 60 and 42 is 18.
问答题
Two trains running on parallel tracks are 600 miles apart. One train is moving east at a speed of 90 mph, while the other is moving west at 75 mph. How long will it take for the two trains to pass each other?
【正确答案】
【答案解析】This is a standard Rate×Time=Distance problem. Since the two trains start 600 miles apart, the combined distance traveled by both trains must equal 600. Using the R×T=D formula, you know that (Rate of Train 1×Time of Train 1)+(Rate of Train 2×Time of Train 2)=600. You are given that the rate of travel is 90 mph for the first train and 75 mph for the second train, and the distance traveled is 600 miles; therefore, you must solve for T, as follows: 90T+75T=600 165T=6O0 T=(approximately) 3.64 hours
问答题
3(x-4)=5x-20. Solve for x.
【正确答案】
【答案解析】To solve this problem, first do the multiplication on the left side of the equation to get 3x-12=5x-20. Next, put the like terms together. To do this, subtract 3x from both sides, and add 20 to both sides to get 8=2x. Divide both sides by 2 to get x=4.