Rewrite the linear system so that the like terms are arranged in columns.
8x y = 19
y + 3x = 7
4x = y 11
6y + 4x = 3
9x 2y = 5
2y = 11x + 8
Describe the first step you would use to solve the linear system.
22x y = 4
y = 6x 5
25 = x 7y
Write the coordinates of the point.
Tell whether the ordered pair is a solution of the equation.
5. y = 2x + 2; (3, 2)
6. 2x + y = 1; (1, 3)
7. 4y 3x = 4; (0, 1)
Draw the line that has the given intercepts.
8. xintercept: 2
Tell whether the ordered pair is a solution of the linear system.
1. (4, 1);
x + 2y = 6
3x + y = 11
2. (4, 3);
3x + 2y = 18
6x- 2y = 27
3. (4, 3);
4x + 3y = 12
x + 2y = 6
Use the graph to solve the linear system. Check your solution.
4. x y = 8
5. 5x y =
Match the verbal sentence with the inequality. Then solve the inequality.
1. The product of 3 and x is less than or equal to 18.
2. The product of 18 and x is greater than or equal to 3.
B. 18x 3
3. The quotient of x and 18 is greater than or equal to 3
Match the linear system with its graph. Then use the graph to tell whether the linear
system has one solution, no solution, or infinitely many solutions.
1. y + 3 = 4x
3y = 12x 9
2. 2x + y = 1
2x + y = 5
3. 3x + y = 1
2x + y = 3
Graph the linear
Golf Clubs A sporting goods store stocks a better set of golf clubs in both left- handed
and right-handed sets. The set of left-handed golf clubs sells for x dollars and the set of
right-handed golf clubs sells for y dollars. In one month, the store sells
Pavilion Rental You and three of your friends decide to rent a pavilion at a local park for
an end-of-the-school-year party. The group budget is $80. The group decides to split the cost
a. What are the possible amounts of money that each of yo
20. The difference of 10x and 3x is less than or equal to the sum of 4x and 21.
The sum of 2x and 4x is greater than or equal to the sum of 3x and 36.
The difference of 2x and 15 is less than or equal to the sum of 4x and 17.
Weaving A weaver