Question

12th grade achievement test
31 if you slide figure abcdef 4 units to the left and 3 units down, what will be the new coordinates of point c?
32 murphy has 18 pencils. she has 3 times as many pencils as pens. which of these equations represents how to find the number of pens murphy has? (n = number of pens murphy has) f 18 + 3 = n h 18×3 = n g 18 - 3 = n j 18÷3 = n
33 which of these numbers has a square root that is a whole number? a 18 c 36 b 20 d 44
34 if the number pattern continues, what will be the eleventh number in the pattern? 1, 3, 2, 6, 3, 9, 4, 12... f 6 g 7 h 15 j 18

Explanation:

Question 31

Step1: Identify original coordinates of C

The original coordinates of point C from the graph are $(3,1)$.

Step2: Apply left - shift to x - coordinate

Shifting 4 units to the left means subtracting 4 from the x - coordinate. So, $3−4=-1$.

Step3: Apply down - shift to y - coordinate

Shifting 3 units down means subtracting 3 from the y - coordinate. So, $1 - 3=-2$.

If the number of pens is $n$ and the number of pencils is 18, and the number of pencils is 3 times the number of pens, then the equation is $18 = 3n$, which can be rewritten as $n=\frac{18}{3}$.

We know that $\sqrt{18}\approx4.24$, $\sqrt{20}\approx4.47$, $\sqrt{36}=6$, $\sqrt{44}\approx6.63$. A whole - number square root means the number is a perfect square. 36 is a perfect square.

Answer:

C. $(-1,-2)$

Question 32