Can You Solve The Basic Linear Equation Quiz?

1. A fence costs $17 per foot and the total cost for the fence was $1,428. How many feet of fence were purchased?

20

84

8

17

The total cost of the fence is given as $1,428 and the cost per foot is $17. To find the number of feet of fence purchased, we need to divide the total cost by the cost per foot. Therefore, $1,428 / $17 = 84. Hence, 84 feet of fence were purchased.

Explanation

The total cost of the fence is given as $1,428 and the cost per foot is $17. To find the number of feet of fence purchased, we need to divide the total cost by the cost per foot. Therefore, $1,428 / $17 = 84. Hence, 84 feet of fence were purchased.

2. The width and length, in feet, of a rectangular playground are x and x + 2. A fence costs $17 per foot. What is the expression for the cost of the fence?

17[x + (x + 2)]

17x(x + 2)

17[x + (x + 2) + x + (x + 2)]

17 + x + (x + 2)

The expression for the cost of the fence is 17[x + (x + 2) + x + (x + 2)]. This can be derived by multiplying the cost per foot ($17) by the total perimeter of the rectangular playground. The perimeter is calculated by adding the lengths of all four sides of the rectangle, which in this case is x + (x + 2) + x + (x + 2).

Explanation

The expression for the cost of the fence is 17[x + (x + 2) + x + (x + 2)]. This can be derived by multiplying the cost per foot ($17) by the total perimeter of the rectangular playground. The perimeter is calculated by adding the lengths of all four sides of the rectangle, which in this case is x + (x + 2) + x + (x + 2).

3. The width and length, in feet, of a rectangular playground are x and x + 2. A fence costs $17 per foot and the total cost for the fence was $1,428. What is the value of x?

20

84

2

8

The total cost for the fence is given as $1,428, and the cost per foot is $17. To find the value of x, we need to determine the perimeter of the rectangular playground. The perimeter of a rectangle is calculated by adding up all four sides. In this case, we have two sides of length x and two sides of length x + 2. Therefore, the perimeter is 2x + 2(x + 2) = 4x + 4. The cost of the fence is equal to the perimeter multiplied by the cost per foot, so we have the equation 17(4x + 4) = 1428. Solving for x, we find that x = 20.

Explanation

The total cost for the fence is given as $1,428, and the cost per foot is $17. To find the value of x, we need to determine the perimeter of the rectangular playground. The perimeter of a rectangle is calculated by adding up all four sides. In this case, we have two sides of length x and two sides of length x + 2. Therefore, the perimeter is 2x + 2(x + 2) = 4x + 4. The cost of the fence is equal to the perimeter multiplied by the cost per foot, so we have the equation 17(4x + 4) = 1428. Solving for x, we find that x = 20.

4. The width and length, in feet, of a rectangular playground are x and x + 2. A fence costs $17 per foot. Write an expression to show the distance around the playground.

X ( x + 2)

X +( x + 2 )+ x +( x + 2)

X - x (2)

X + 17 (x + 2)

The expression x +( x + 2 )+ x +( x + 2) represents the distance around the playground. The first x represents one side of the playground, the second x + 2 represents the adjacent side, and the two additional terms represent the other two sides. By adding all these terms together, we get the total distance around the playground.

Explanation

The expression x +( x + 2 )+ x +( x + 2) represents the distance around the playground. The first x represents one side of the playground, the second x + 2 represents the adjacent side, and the two additional terms represent the other two sides. By adding all these terms together, we get the total distance around the playground.

5.

Which equation describes the relationship between x and y in the table above?

Y = y + 5

Y = 2x - 5

Y = 5x - 2

Y = x + 2

The equation y = 5x - 2 describes the relationship between x and y in the table. This equation shows that y is equal to 5 times x minus 2. This means that as x increases, y will increase at a rate of 5 times the increase in x, with a constant decrease of 2.

Explanation

The equation y = 5x - 2 describes the relationship between x and y in the table. This equation shows that y is equal to 5 times x minus 2. This means that as x increases, y will increase at a rate of 5 times the increase in x, with a constant decrease of 2.