Question

1. hassan used a gift card to buy a pair of jeans for $30 and 2 pairs of socks for $7 per pair. the expression shown represents the total change in the balance of the gift card in dollars.

$-30 + 2(-7)$
what integer represents the total change in the value of the gift card in dollars?
a. $-35$ b. $-16$ c. $-196$ d. $-44$

1. nathan threw each of 4 beanbags at a target and scored points based on where the beanbags landed. the results of nathan’s beanbag throws are shown in the table.

nathan’s results

beanbag throw	points scored
2	$-4$
3	$-1$
4	1

what was the total number of points scored by nathan in his 4 throws?
a. $-6$ b. $-4$ c. 2 d. none of these

Explanation:

Question 41

Step1: Calculate the multiplication part

First, we need to calculate \(2(-7)\). Multiplying 2 and -7 gives us \(2\times(-7)= -14\).

Step2: Add the remaining term

Now, we add -30 to the result from Step 1. So, we have \(-30 + (-14)\). When adding two negative numbers, we add their absolute values and keep the negative sign. The absolute value of -30 is 30, and the absolute value of -14 is 14. Adding 30 and 14 gives 44, so \(-30 + (-14)= -44\).

To find the total number of points, we need to sum up the points from each throw. The points scored are 2, -4, -1, and 1. So we calculate \(2 + (-4) + (-1) + 1\). First, \(2 + (-4)= -2\). Then, \(-2 + (-1)= -3\). Finally, \(-3 + 1 = -2\). Wait, but looking at the options, there is no -2. Wait, maybe I made a mistake. Wait, let's recalculate: \(2 + (-4)= -2\), then \(-2 + (-1)= -3\), then \(-3 + 1 = -2\). But the options are A. -6, B. -4, C. 2, D. None of these. So the correct answer should be D as -2 is not among A, B, C. Wait, maybe I misread the table. Wait, the table: Throw 1: 2, Throw 2: -4, Throw 3: -1, Throw 4: 1. So sum is \(2 - 4 -1 +1 = (2 +1) - (4 +1)= 3 -5 = -2\). So since -2 is not in A, B, C, the answer is D.
Wait, but let's check again. \(2 + (-4)= -2\), \(-2 + (-1)= -3\), \(-3 +1 = -2\). Yes, so the total is -2, which is not among A, B, C. So the answer is D.

Answer:

D. -44

Question 42