Front

How many terms are in the expression: 5a² + 7a - 8?

Back

three

Answer explanation

The expression 5a² + 7a - 8 consists of three distinct terms: 5a², 7a, and -8. Each term is separated by a plus or minus sign, confirming that the correct answer is three.

Front

write the equation

Back

15 + 6p = 75

Answer explanation

The equation 15 + 6p = 75 correctly represents the relationship where 6p is added to 15 to equal 75. The other options either misplace the terms or incorrectly set the equation.

Front

Find the slope from the pair of points (-4,-5) (4,5)

Back

5/4

Answer explanation

To find the slope (m) from the points (-4,-5) and (4,5), use the formula m = (y2 - y1) / (x2 - x1). Here, m = (5 - (-5)) / (4 - (-4)) = 10 / 8 = 5/4. Thus, the correct answer is 5/4.

Front

First step to solve the equation: 11 - 3x = 44

Back

Subtract 11 from both sides

Answer explanation

To isolate the variable x, the first step is to eliminate the constant on the left side. Subtracting 11 from both sides simplifies the equation to -3x = 33, making it easier to solve for x.

Front

-31-4x=-5-5(1+5x)

Back

1

Answer explanation

To solve -31-4x=-5-5(1+5x), first simplify the right side: -5-25x. Then, combine like terms: -31-4x= -5-25x becomes 21x=26. Solving for x gives x=1, which is the correct answer.

Front

3(1-3x)=2(-4x+7)

Back

-11

Answer explanation

To solve 3(1-3x)=2(-4x+7), first distribute: 3 - 9x = -8x + 14. Rearranging gives: -9x + 8x = 14 - 3, leading to -x = 11, thus x = -11. The correct answer is -11.

Front

Write a rule for the following table:
x:      -2     -1     0     1     2     3
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y:       -3     0      3     6     9     12
Options: y = 3x -1, y = 3 + 3x, y = -3x -2, y = x + 3

Back

y = 3 + 3x

Answer explanation

To find the rule, observe that y increases by 3 for each increase of 1 in x. This indicates a slope of 3. The y-intercept can be found at x=0, where y=3. Thus, the equation is y = 3x + 3, which simplifies to y = 3 + 3x.

Front

A party charges $5 admission for each person. Options: Linear, Exponential, Neither

Back

Linear

Answer explanation

The party charges a fixed $5 per person, which results in a constant increase in total cost as more people attend. This relationship is linear, as it can be represented by the equation y = 5x, where y is total cost and x is the number of people.

Front

If a system of equations has no solution, what does the graph look like?

Back

parallel lines

Answer explanation

If a system of equations has no solution, the graph consists of parallel lines. This means the lines never intersect, indicating that there are no points that satisfy both equations simultaneously.

Front

What is the solution? Options: (1, -1), (-1, 1), (0, -2), (2, 0)

Back

(1, -1)

Answer explanation

The solution (1, -1) satisfies the equation, as substituting these values results in a true statement. Other options do not meet the criteria, making (1, -1) the correct choice.