Write $p^2-10p+24$ in vertex form.

What constant completes the square for $p^2-15p$?

What constant completes the square for $t^2-13t$?

What constant completes the square for $x^2+13x$?

What constant completes the square for $m^2-16m$?

Solve $w^2-6w-45=0$ by completing the square. Leave the answer in simplest radical form.

Which value of c makes $t^2-22t+c$ a perfect square trinomial?

What constant completes the square for $n^2+6n$?

Write $m^2+18m+87$ in vertex form.

Write $p^2-12p+30$ in vertex form.

Which value of c makes $k^2+12k+c$ a perfect square trinomial?

Solve $m^2-4m-95=0$ by completing the square. Leave the answer in simplest radical form.

Write $t^2+14t+44$ in vertex form.

Which value of c makes $p^2+18p+c$ a perfect square trinomial?

Which value of c makes $x^2+4x+c$ a perfect square trinomial?

To solve $m^2+2m=7$ a student writes: Step 1, add 1 to the left to get $(m+1{)}^2=7$. Step 2, take both square roots. Step 3, subtract 1 from each side. Which step is wrong, and why?

Solve $y^2+12y+23=0$ by completing the square. Leave the answer in exact radical form.

Solve $y^2+8y+12=0$ by completing the square.

To solve $y^2+2y=11$ a student writes: Step 1, add 1 to the left to get $(y+1{)}^2=11$. Step 2, take both square roots. Step 3, subtract 1 from each side. Which step is wrong, and why?

To solve $x^2+10x=11$ a student writes: Step 1, add 25 to the left to get $(x+5{)}^2=11$. Step 2, take both square roots. Step 3, subtract 5 from each side. Which step is wrong, and why?

Solve $k^2-8k-101=0$ by completing the square. Leave the answer in simplest radical form.

Which value of c makes $t^2+16t+c$ a perfect square trinomial?

To solve $k^2+14k=13$ a student writes: Step 1, add 49 to the left to get $(k+7{)}^2=13$. Step 2, take both square roots. Step 3, subtract 7 from each side. Which step is wrong, and why?

What constant completes the square for $p^2+22p$?

What constant completes the square for $k^2+20k$?

Solve $p^2+4p-45=0$ by completing the square.

Solve $k^2+2k-1=0$ by completing the square. Leave the answer in exact radical form.

Solve $p^2-14p+21=0$ by completing the square. Leave the answer in simplest radical form.

Which value of c makes $y^2-8y+c$ a perfect square trinomial?

Solve $k^2+4k-32=0$ by completing the square.

To solve $t^2+18t=11$ a student writes: Step 1, add 81 to the left to get $(t+9{)}^2=11$. Step 2, take both square roots. Step 3, subtract 9 from each side. Which step is wrong, and why?

What constant completes the square for $t^2-4t$?

To solve $t^2+16t=12$ a student writes: Step 1, add 64 to the left to get $(t+8{)}^2=12$. Step 2, take both square roots. Step 3, subtract 8 from each side. Which step is wrong, and why?

Write $p^2+18p+93$ in vertex form.

Write $m^2-4m+8$ in vertex form.

Solve $n^2-2n-19=0$ by completing the square. Leave the answer in simplest radical form.

What constant completes the square for $k^2+9k$?

Solve $m^2+6m-27=0$ by completing the square.

What constant completes the square for $w^2-14w$?

Solve $x^2+14x-41=0$ by completing the square. Leave the answer in simplest radical form.