Algebra I Strategies

-8y+7y equals what?

-1y (or you can just write -y)

When substituting integers for the x and y in point-slope form, how can you ensure that you're putting in the correct integers?

1) Write the point-slope form. 2)Choose a point on the line and write the ordered pair on your paper. 3) Circle the ordered pair and label it as x (sub 1) and y (sub 1). 4) Then substitute each integer that you've circled into the point-slope form.

What do you always have to do when you write the slope in y=mx+b form?

Always put the letter "x" NEXT to the slope in slope-intercept form (y=mx+b).

-Y=3. What do you do next to solve for y?

Divide both sides by -1 so that y becomes positive and the 3 will be negative. So your final answer is Y=-3.

How do you produce the line equation when you only have the slope and a coordinate pair?

Slope replaces the "m" and substitute the x and y into the slope intercept equation, then solve for b.

If you have an equation in standard form like 8x-4y=15, what is the first step to take when converting it into slope-intercept form?

Subtract 8x from both sides. (So you will write -8x on both sides).

When beginning to do the slope formula, what must you write first?

Write the subtraction signs in the numerator and denominator.

When you want to isolate a variable (get "x" all by itself in "2x"), but it's connected to a coefficient (like 2), how do you separate the 2 from the x?

You divide both sides of the equation by 2.

When you have an equation in standard form (like 8x-4y=15), how do you rewrite it after you subtract 8x from both sides?

You have to keep the negative sign with the 4y, so it will be "-4y." You also have to put the -8x before the 15 on the far right. So rewrite it as "-4y=-8x+15."

You need to convert an equation in standard form (Ax+By=C) to slope-intercept form. How do you move the Ax to the right side of the equation?

You subtract Ax from both sides.

Two negatives equal what?

a positive

When a constant (like +6) needs to be moved to the other side of the equal sign, how do you do that?

subtract the constant (like +6) from both sides, so it's -6 from both sides