Algebra Problems on Linear Equations
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1. Graph this equation.
y = 3/2x +1
2. Determine whether each pair of equations represents parallel lines.
y = -5/4 +1,
y = 5/4x +3
4. Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
x + 8y = 8
9x - 5y = -5
5. Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables.
The perimeter of a rectangle is six times the width. If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches. What are the length and the width?
6. Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 8 miles per hour. In how many hours will they be 54 miles apart?
7. Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables.
There were 500 people at a play. The admission price was $2.00 for adults and $1.00 for children. The admission receipts were $690. How many adults and children attended?
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